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341432420 = 225717413499
BaseRepresentation
bin10100010110011…
…101100001100100
3212210110120020012
4110112131201210
51144401314140
653514025352
711314061540
oct2426354144
9783416205
10341432420
1116580325a
1296418258
1355976624
14334baa20
151ee95265
hex1459d864

341432420 has 96 divisors (see below), whose sum is σ = 889056000. Its totient is φ = 107458560.

The previous prime is 341432407. The next prime is 341432423. The reversal of 341432420 is 24234143.

341432420 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

341432420 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (341432423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95831 + ... + 99329.

It is an arithmetic number, because the mean of its divisors is an integer number (9261000).

Almost surely, 2341432420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341432420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444528000).

341432420 is an abundant number, since it is smaller than the sum of its proper divisors (547623580).

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

341432420 is a wasteful number, since it uses less digits than its factorization.

341432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 341432420 is about 18477.8900310614. The cubic root of 341432420 is about 698.9319903841.

Adding to 341432420 its reverse (24234143), we get a palindrome (365666563).

It can be divided in two parts, 34143 and 2420, that added together give a palindrome (36563).

The spelling of 341432420 in words is "three hundred forty-one million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 41 68 70 82 85 119 140 164 170 205 238 287 340 410 476 574 595 697 820 1148 1190 1394 1435 2380 2788 2870 3485 3499 4879 5740 6970 6998 9758 13940 13996 17495 19516 24395 24493 34990 48790 48986 59483 69980 97580 97972 118966 122465 143459 237932 244930 286918 297415 416381 489860 573836 594830 717295 832762 1004213 1189660 1434590 1665524 2008426 2081905 2438803 2869180 4016852 4163810 4877606 5021065 8327620 9755212 10042130 12194015 17071621 20084260 24388030 34143242 48776060 68286484 85358105 170716210 341432420