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334422432 = 2535291483
BaseRepresentation
bin10011111011101…
…110000110100000
3212022021102100000
4103323232012200
51141103004212
653103500000
711200354341
oct2373560640
9768242300
10334422432
11161855583
1293bb7600
13543909c6
14325b40c8
151e55d1dc
hex13eee1a0

334422432 has 144 divisors (see below), whose sum is σ = 1020932640. Its totient is φ = 107557632.

The previous prime is 334422427. The next prime is 334422457. The reversal of 334422432 is 234224433.

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

It is a super-2 number, since 2×3344224322 = 223676726049589248, which contains 22 as substring.

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 = 334422396 and 334422405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224763 + ... + 226245.

It is an arithmetic number, because the mean of its divisors is an integer number (7089810).

Almost surely, 2334422432 is an apocalyptic number.

334422432 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 334422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510466320).

334422432 is an abundant number, since it is smaller than the sum of its proper divisors (686510208).

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

334422432 is a wasteful number, since it uses less digits than its factorization.

334422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1517 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 334422432 is about 18287.2204558265. The cubic root of 334422432 is about 694.1155922589.

Adding to 334422432 its reverse (234224433), we get a palindrome (568646865).

The spelling of 334422432 in words is "three hundred thirty-four million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 243 261 288 324 348 432 464 486 522 648 696 783 864 928 972 1044 1296 1392 1483 1566 1944 2088 2349 2592 2784 2966 3132 3888 4176 4449 4698 5932 6264 7047 7776 8352 8898 9396 11864 12528 13347 14094 17796 18792 23728 25056 26694 28188 35592 37584 40041 43007 47456 53388 56376 71184 75168 80082 86014 106776 112752 120123 129021 142368 160164 172028 213552 225504 240246 258042 320328 344056 360369 387063 427104 480492 516084 640656 688112 720738 774126 960984 1032168 1161189 1281312 1376224 1441476 1548252 1921968 2064336 2322378 2882952 3096504 3483567 3843936 4128672 4644756 5765904 6193008 6967134 9289512 10450701 11531808 12386016 13934268 18579024 20901402 27868536 37158048 41802804 55737072 83605608 111474144 167211216 334422432