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398064864 = 253231391297
BaseRepresentation
bin10111101110011…
…111110011100000
31000202000210100010
4113232133303200
51303401033424
6103255524520
712602331651
oct2756376340
91022023303
10398064864
1119477402a
12b1389740
1364614852
143ac1d528
1524e30229
hex17b9fce0

398064864 has 96 divisors (see below), whose sum is σ = 1099042560. Its totient is φ = 125908992.

The previous prime is 398064857. The next prime is 398064883. The reversal of 398064864 is 468460893.

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 a congruent number.

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, 306264 + ... + 307560.

It is an arithmetic number, because the mean of its divisors is an integer number (11448360).

Almost surely, 2398064864 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 398064864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549521280).

398064864 is an abundant number, since it is smaller than the sum of its proper divisors (700977696).

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

398064864 is a wasteful number, since it uses less digits than its factorization.

398064864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 398064864 is about 19951.5629462957. The cubic root of 398064864 is about 735.6161948177.

The spelling of 398064864 in words is "three hundred ninety-eight million, sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 139 184 276 278 368 417 552 556 736 834 1104 1112 1297 1668 2208 2224 2594 3197 3336 3891 4448 5188 6394 6672 7782 9591 10376 12788 13344 15564 19182 20752 25576 29831 31128 38364 41504 51152 59662 62256 76728 89493 102304 119324 124512 153456 178986 180283 238648 306912 357972 360566 477296 540849 715944 721132 954592 1081698 1431888 1442264 2163396 2863776 2884528 4146509 4326792 5769056 8293018 8653584 12439527 16586036 17307168 24879054 33172072 49758108 66344144 99516216 132688288 199032432 398064864