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398872368 = 24328931123
BaseRepresentation
bin10111110001100…
…100111100110000
31000210112211000200
4113301210330300
51304102403433
6103325115200
712612234126
oct2761447460
91023484020
10398872368
11195175794
12b16b8b00
136483826b
143ad8d916
152503e613
hex17c64f30

398872368 has 60 divisors (see below), whose sum is σ = 1128867480. Its totient is φ = 131459328.

The previous prime is 398872363. The next prime is 398872387. The reversal of 398872368 is 863278893.

It is not an unprimeable number, because it can be changed into a prime (398872363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2746 + ... + 28377.

It is an arithmetic number, because the mean of its divisors is an integer number (18814458).

Almost surely, 2398872368 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 398872368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564433740).

398872368 is an abundant number, since it is smaller than the sum of its proper divisors (729995112).

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

398872368 is a wasteful number, since it uses less digits than its factorization.

398872368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31226 (or 31217 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 398872368 is about 19971.7893039157. The cubic root of 398872368 is about 736.1132761221.

The spelling of 398872368 in words is "three hundred ninety-eight million, eight hundred seventy-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 4272 6408 12816 31123 62246 93369 124492 186738 248984 280107 373476 497968 560214 746952 1120428 1493904 2240856 2769947 4481712 5539894 8309841 11079788 16619682 22159576 24929523 33239364 44319152 49859046 66478728 99718092 132957456 199436184 398872368