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341334432 = 25331721367
BaseRepresentation
bin10100010110000…
…101100110100000
3212210021120211000
4110112011212200
51144340200212
653511552000
711313203055
oct2426054640
9783246730
10341334432
1116574667a
129638b600
1355940b4a
143349302c
151ee761dc
hex145859a0

341334432 has 144 divisors (see below), whose sum is σ = 1058339520. Its totient is φ = 107006976.

The previous prime is 341334419. The next prime is 341334439. The reversal of 341334432 is 234433143.

341334432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 341334396 and 341334405.

It is not an unprimeable number, because it can be changed into a prime (341334439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249013 + ... + 250379.

It is an arithmetic number, because the mean of its divisors is an integer number (7349580).

Almost surely, 2341334432 is an apocalyptic number.

341334432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529169760).

341334432 is an abundant number, since it is smaller than the sum of its proper divisors (717005088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

341334432 is a wasteful number, since it uses less digits than its factorization.

341334432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1389 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 341334432 is about 18475.2383475830. The cubic root of 341334432 is about 698.8651216115.

Adding to 341334432 its reverse (234433143), we get a palindrome (575767575).

The spelling of 341334432 in words is "three hundred forty-one million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 289 306 408 432 459 544 578 612 816 864 867 918 1156 1224 1367 1632 1734 1836 2312 2448 2601 2734 3468 3672 4101 4624 4896 5202 5468 6936 7344 7803 8202 9248 10404 10936 12303 13872 14688 15606 16404 20808 21872 23239 24606 27744 31212 32808 36909 41616 43744 46478 49212 62424 65616 69717 73818 83232 92956 98424 124848 131232 139434 147636 185912 196848 209151 249696 278868 295272 371824 393696 395063 418302 557736 590544 627453 743648 790126 836604 1115472 1181088 1185189 1254906 1580252 1673208 2230944 2370378 2509812 3160504 3346416 3555567 4740756 5019624 6321008 6692832 7111134 9481512 10039248 10666701 12642016 14222268 18963024 20078496 21333402 28444536 37926048 42666804 56889072 85333608 113778144 170667216 341334432