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398890764 = 223331283421
BaseRepresentation
bin10111110001101…
…001011100001100
31000210120202021000
4113301221130030
51304104001024
6103325340300
712612341556
oct2761513414
91023522230
10398890764
11195188598
12b1707690
136484374c
143ad964d6
1525044cc9
hex17c6970c

398890764 has 96 divisors (see below), whose sum is σ = 1073838080. Its totient is φ = 127915200.

The previous prime is 398890741. The next prime is 398890787. The reversal of 398890764 is 467098893.

It is an interprime number because it is at equal distance from previous prime (398890741) and next prime (398890787).

It is a super-2 number, since 2×3988907642 = 318227683209007392, 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 398890764.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947274 + ... + 947694.

Almost surely, 2398890764 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 398890764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536919040).

398890764 is an abundant number, since it is smaller than the sum of its proper divisors (674947316).

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

398890764 is a wasteful number, since it uses less digits than its factorization.

398890764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 398890764 is about 19972.2498482269. The cubic root of 398890764 is about 736.1245924668.

The spelling of 398890764 in words is "three hundred ninety-eight million, eight hundred ninety thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 283 372 421 558 566 837 842 849 1116 1132 1263 1674 1684 1698 2526 2547 3348 3396 3789 5052 5094 7578 7641 8773 10188 11367 13051 15156 15282 17546 22734 26102 26319 30564 35092 39153 45468 52204 52638 78306 78957 105276 117459 119143 156612 157914 234918 236871 238286 315828 352377 357429 469836 473742 476572 704754 714858 947484 1072287 1409508 1429716 2144574 3216861 3693433 4289148 6433722 7386866 11080299 12867444 14773732 22160598 33240897 44321196 66481794 99722691 132963588 199445382 398890764