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398626368 = 263736053
BaseRepresentation
bin10111110000101…
…000111001000000
31000210002022120120
4113300220321000
51304022020433
6103315540240
712610161000
oct2760507100
91023068516
10398626368
11195017988
12b15ba680
13647802ba
143ad28000
1524ee17b3
hex17c28e40

398626368 has 112 divisors (see below), whose sum is σ = 1230172800. Its totient is φ = 113874432.

The previous prime is 398626357. The next prime is 398626379. The reversal of 398626368 is 863626893.

It is an interprime number because it is at equal distance from previous prime (398626357) and next prime (398626379).

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 398626368.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62830 + ... + 68882.

Almost surely, 2398626368 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 398626368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615086400).

398626368 is an abundant number, since it is smaller than the sum of its proper divisors (831546432).

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

398626368 is an equidigital number, since it uses as much as digits as its factorization.

398626368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6089 (or 6065 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The square root of 398626368 is about 19965.6296670052. The cubic root of 398626368 is about 735.9619151686.

The spelling of 398626368 in words is "three hundred ninety-eight million, six hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 4116 4704 5488 6053 8232 9408 10976 12106 16464 18159 21952 24212 32928 36318 42371 48424 65856 72636 84742 96848 127113 145272 169484 193696 254226 290544 296597 338968 387392 508452 581088 593194 677936 889791 1016904 1162176 1186388 1355872 1779582 2033808 2076179 2372776 2711744 3559164 4067616 4152358 4745552 6228537 7118328 8135232 8304716 9491104 12457074 14236656 16609432 18982208 24914148 28473312 33218864 49828296 56946624 66437728 99656592 132875456 199313184 398626368