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398074656 = 25371513923
BaseRepresentation
bin10111101110100…
…010001100100000
31000202001021202210
4113232202030200
51303401342111
6103300042120
712602402340
oct2756421440
91022037683
10398074656
11194780421
12b1393340
1364619145
143ac22d20
1524e330a6
hex17ba2320

398074656 has 96 divisors (see below), whose sum is σ = 1202439168. Its totient is φ = 112953600.

The previous prime is 398074603. The next prime is 398074657. The reversal of 398074656 is 656470893.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (398074657) by changing a digit.

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, 99511 + ... + 103433.

It is an arithmetic number, because the mean of its divisors is an integer number (12525408).

Almost surely, 2398074656 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 398074656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601219584).

398074656 is an abundant number, since it is smaller than the sum of its proper divisors (804364512).

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

398074656 is a wasteful number, since it uses less digits than its factorization.

398074656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 398074656 is about 19951.8083390955. The cubic root of 398074656 is about 735.6222265774.

The spelling of 398074656 in words is "three hundred ninety-eight million, seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 151 168 224 302 336 453 604 672 906 1057 1208 1812 2114 2416 3171 3624 3923 4228 4832 6342 7248 7846 8456 11769 12684 14496 15692 16912 23538 25368 27461 31384 33824 47076 50736 54922 62768 82383 94152 101472 109844 125536 164766 188304 219688 329532 376608 439376 592373 659064 878752 1184746 1318128 1777119 2369492 2636256 3554238 4146611 4738984 7108476 8293222 9477968 12439833 14216952 16586444 18955936 24879666 28433904 33172888 49759332 56867808 66345776 99518664 132691552 199037328 398074656