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398308896 = 25323114447
BaseRepresentation
bin10111101111011…
…011011000100000
31000202111012002100
4113233123120200
51303431341041
6103305050400
712604366266
oct2757333040
91022435070
10398308896
11194920407
12b1486a00
136469b94b
143ac84436
1524e7c6b6
hex17bdb620

398308896 has 72 divisors (see below), whose sum is σ = 1136588544. Its totient is φ = 132312960.

The previous prime is 398308877. The next prime is 398308907. The reversal of 398308896 is 698803893.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87345 + ... + 91791.

It is an arithmetic number, because the mean of its divisors is an integer number (15785952).

Almost surely, 2398308896 is an apocalyptic number.

398308896 is a gapful number since it is divisible by the number (36) 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 398308896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568294272).

398308896 is an abundant number, since it is smaller than the sum of its proper divisors (738279648).

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

398308896 is a wasteful number, since it uses less digits than its factorization.

398308896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4774 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 398308896 is about 19957.6776204046. The cubic root of 398308896 is about 735.7664862539.

The spelling of 398308896 in words is "three hundred ninety-eight million, three hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 311 622 933 1244 1866 2488 2799 3732 4447 4976 5598 7464 8894 9952 11196 13341 14928 17788 22392 26682 29856 35576 40023 44784 53364 71152 80046 89568 106728 142304 160092 213456 320184 426912 640368 1280736 1383017 2766034 4149051 5532068 8298102 11064136 12447153 16596204 22128272 24894306 33192408 44256544 49788612 66384816 99577224 132769632 199154448 398308896