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397936032 = 25313419761
BaseRepresentation
bin10111101110000…
…000010110100000
31000201210020121120
4113232000112200
51303332423112
6103253052240
712601254234
oct2756002640
91021706546
10397936032
1119469625a
12b1327080
136459b010
143abc85c4
1524e06e8c
hex17b805a0

397936032 has 96 divisors (see below), whose sum is σ = 1129101120. Its totient is φ = 121989120.

The previous prime is 397936013. The next prime is 397936039. The reversal of 397936032 is 230639793.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (397936039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522532 + ... + 523292.

It is an arithmetic number, because the mean of its divisors is an integer number (11761470).

Almost surely, 2397936032 is an apocalyptic number.

397936032 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 397936032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564550560).

397936032 is an abundant number, since it is smaller than the sum of its proper divisors (731165088).

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

397936032 is a wasteful number, since it uses less digits than its factorization.

397936032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 42.

The square root of 397936032 is about 19948.3340657810. The cubic root of 397936032 is about 735.5368265706.

The spelling of 397936032 in words is "three hundred ninety-seven million, nine hundred thirty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 419 624 761 838 1248 1257 1522 1676 2283 2514 3044 3352 4566 5028 5447 6088 6704 9132 9893 10056 10894 12176 13408 16341 18264 19786 20112 21788 24352 29679 32682 36528 39572 40224 43576 59358 65364 73056 79144 87152 118716 130728 158288 174304 237432 261456 316576 318859 474864 522912 637718 949728 956577 1275436 1913154 2550872 3826308 4145167 5101744 7652616 8290334 10203488 12435501 15305232 16580668 24871002 30610464 33161336 49742004 66322672 99484008 132645344 198968016 397936032