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30998268 = 22337131313
BaseRepresentation
bin111011000111…
…1111011111100
32011022212122000
41312033323330
530413421033
63024222300
7524323650
oct166177374
964285560
1030998268
1116552504
12a46a990
136564492
14418ca60
152ac4a13
hex1d8fefc

30998268 has 96 divisors (see below), whose sum is σ = 92843520. Its totient is φ = 8760960.

The previous prime is 30998263. The next prime is 30998281. The reversal of 30998268 is 86289903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30998263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98880 + ... + 99192.

It is an arithmetic number, because the mean of its divisors is an integer number (967120).

Almost surely, 230998268 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 30998268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46421760).

30998268 is an abundant number, since it is smaller than the sum of its proper divisors (61845252).

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

30998268 is a wasteful number, since it uses less digits than its factorization.

30998268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 30998268 is about 5567.6088224659. The cubic root of 30998268 is about 314.1322147309.

The spelling of 30998268 in words is "thirty million, nine hundred ninety-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 131 189 252 262 313 378 393 524 626 756 786 917 939 1179 1252 1572 1834 1878 2191 2358 2751 2817 3537 3668 3756 4382 4716 5502 5634 6573 7074 8253 8451 8764 11004 11268 13146 14148 16506 16902 19719 24759 26292 33012 33804 39438 41003 49518 59157 78876 82006 99036 118314 123009 164012 236628 246018 287021 369027 492036 574042 738054 861063 1107081 1148084 1476108 1722126 2214162 2583189 3444252 4428324 5166378 7749567 10332756 15499134 30998268