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398888064 = 273479487
BaseRepresentation
bin10111110001101…
…000110010000000
31000210120121120000
4113301220302000
51304103404224
6103325320000
712612330651
oct2761506200
91023517500
10398888064
11195186563
12b1706000
1364842453
143ad95528
15250440c9
hex17c68c80

398888064 has 160 divisors (see below), whose sum is σ = 1204579200. Its totient is φ = 131010048.

The previous prime is 398888059. The next prime is 398888101. The reversal of 398888064 is 460888893.

It is a super-2 number, since 2×3988880642 = 318223375203336192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 398888064.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 818829 + ... + 819315.

It is an arithmetic number, because the mean of its divisors is an integer number (7528620).

Almost surely, 2398888064 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 398888064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602289600).

398888064 is an abundant number, since it is smaller than the sum of its proper divisors (805691136).

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

398888064 is an equidigital number, since it uses as much as digits as its factorization.

398888064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 398888064 is about 19972.1822543256. The cubic root of 398888064 is about 736.1229315769.

The spelling of 398888064 in words is "three hundred ninety-eight million, eight hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 128 144 158 162 192 216 237 288 316 324 384 432 474 487 576 632 648 711 864 948 974 1152 1264 1296 1422 1461 1728 1896 1948 2133 2528 2592 2844 2922 3456 3792 3896 4266 4383 5056 5184 5688 5844 6399 7584 7792 8532 8766 10112 10368 11376 11688 12798 13149 15168 15584 17064 17532 22752 23376 25596 26298 30336 31168 34128 35064 38473 39447 45504 46752 51192 52596 62336 68256 70128 76946 78894 91008 93504 102384 105192 115419 136512 140256 153892 157788 187008 204768 210384 230838 273024 280512 307784 315576 346257 409536 420768 461676 561024 615568 631152 692514 819072 841536 923352 1038771 1231136 1262304 1385028 1683072 1846704 2077542 2462272 2524608 2770056 3116313 3693408 4155084 4924544 5049216 5540112 6232626 7386816 8310168 11080224 12465252 14773632 16620336 22160448 24930504 33240672 44320896 49861008 66481344 99722016 132962688 199444032 398888064