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398734272 = 2633593911
BaseRepresentation
bin10111110001000…
…011001111000000
31000210021210121000
4113301003033000
51304033444042
6103322132000
712611120406
oct2761031700
91023253530
10398734272
11195090a62
12b1651000
13647ba451
143ad55476
152501374c
hex17c433c0

398734272 has 112 divisors (see below), whose sum is σ = 1192377600. Its totient is φ = 130625280.

The previous prime is 398734243. The next prime is 398734291. The reversal of 398734272 is 272437893.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 99997 + ... + 103907.

Almost surely, 2398734272 is an apocalyptic number.

398734272 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 398734272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596188800).

398734272 is an abundant number, since it is smaller than the sum of its proper divisors (793643328).

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

398734272 is a wasteful number, since it uses less digits than its factorization.

398734272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3975 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 398734272 is about 19968.3317280137. The cubic root of 398734272 is about 736.0283149157.

The spelling of 398734272 in words is "three hundred ninety-eight million, seven hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 144 177 192 216 236 288 354 432 472 531 576 708 864 944 1062 1416 1593 1728 1888 2124 2832 3186 3776 3911 4248 5664 6372 7822 8496 11328 11733 12744 15644 16992 23466 25488 31288 33984 35199 46932 50976 62576 70398 93864 101952 105597 125152 140796 187728 211194 230749 250304 281592 375456 422388 461498 563184 692247 750912 844776 922996 1126368 1384494 1689552 1845992 2076741 2252736 2768988 3379104 3691984 4153482 5537976 6230223 6758208 7383968 8306964 11075952 12460446 14767936 16613928 22151904 24920892 33227856 44303808 49841784 66455712 99683568 132911424 199367136 398734272