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398701968 = 243711310501
BaseRepresentation
bin10111110000111…
…011010110010000
31000210020011021120
4113300323112100
51304031430333
6103321322240
712610624260
oct2760732620
91023204246
10398701968
11195069765
12b1636380
13647a8832
143ad477a0
1525008db3
hex17c3b590

398701968 has 80 divisors (see below), whose sum is σ = 1187650176. Its totient is φ = 112896000.

The previous prime is 398701967. The next prime is 398701993. The reversal of 398701968 is 869107893.

It is a self number, because there is not a number n which added to its sum of digits gives 398701968.

It is not an unprimeable number, because it can be changed into a prime (398701967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32718 + ... + 43218.

Almost surely, 2398701968 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 398701968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593825088).

398701968 is an abundant number, since it is smaller than the sum of its proper divisors (788948208).

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

398701968 is a wasteful number, since it uses less digits than its factorization.

398701968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10632 (or 10626 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 398701968 is about 19967.5228308371. The cubic root of 398701968 is about 736.0084376002.

The spelling of 398701968 in words is "three hundred ninety-eight million, seven hundred one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 113 168 226 336 339 452 678 791 904 1356 1582 1808 2373 2712 3164 4746 5424 6328 9492 10501 12656 18984 21002 31503 37968 42004 63006 73507 84008 126012 147014 168016 220521 252024 294028 441042 504048 588056 882084 1176112 1186613 1764168 2373226 3528336 3559839 4746452 7119678 8306291 9492904 14239356 16612582 18985808 24918873 28478712 33225164 49837746 56957424 66450328 99675492 132900656 199350984 398701968