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328071432 = 2331329101359
BaseRepresentation
bin10011100011011…
…111100100001000
3211212022202101210
4103203133210020
51132441241212
652315413120
711062363323
oct2343374410
9755282353
10328071432
11159207a17
1291a541a0
1352c79010
14317dd7ba
151dc0653c
hex138df908

328071432 has 128 divisors (see below), whose sum is σ = 925344000. Its totient is φ = 96230400.

The previous prime is 328071427. The next prime is 328071433. The reversal of 328071432 is 234170823.

It is a self number, because there is not a number n which added to its sum of digits gives 328071432.

It is not an unprimeable number, because it can be changed into a prime (328071433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 913669 + ... + 914027.

It is an arithmetic number, because the mean of its divisors is an integer number (7229250).

Almost surely, 2328071432 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 328071432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462672000).

328071432 is an abundant number, since it is smaller than the sum of its proper divisors (597272568).

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

328071432 is a wasteful number, since it uses less digits than its factorization.

328071432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 328071432 is about 18112.7422551087. The cubic root of 328071432 is about 689.6935080715.

The spelling of 328071432 in words is "three hundred twenty-eight million, seventy-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 101 104 116 156 174 202 232 303 312 348 359 377 404 606 696 718 754 808 1077 1131 1212 1313 1436 1508 2154 2262 2424 2626 2872 2929 3016 3939 4308 4524 4667 5252 5858 7878 8616 8787 9048 9334 10411 10504 11716 14001 15756 17574 18668 20822 23432 28002 31233 31512 35148 36259 37336 38077 41644 56004 62466 70296 72518 76154 83288 108777 112008 114231 124932 135343 145036 152308 217554 228462 249864 270686 290072 304616 406029 435108 456924 471367 541372 812058 870216 913848 942734 1051511 1082744 1414101 1624116 1885468 2103022 2828202 3154533 3248232 3770936 4206044 5656404 6309066 8412088 11312808 12618132 13669643 25236264 27339286 41008929 54678572 82017858 109357144 164035716 328071432