Search a number
-
+
331300032 = 2637534651
BaseRepresentation
bin10011101111110…
…011110011000000
3212002101210012120
4103233303303000
51134303100112
652512524240
711132001210
oct2357636300
9762353176
10331300032
11160012688
1292b50680
135383972b
1432000240
151e142e8c
hex13bf3cc0

331300032 has 112 divisors (see below), whose sum is σ = 1020909312. Its totient is φ = 92851200.

The previous prime is 331300003. The next prime is 331300037. The reversal of 331300032 is 230003133.

331300032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3313000322 = 219519422406402048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331299984 and 331300020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331300037) 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, 68907 + ... + 73557.

Almost surely, 2331300032 is an apocalyptic number.

331300032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510454656).

331300032 is an abundant number, since it is smaller than the sum of its proper divisors (689609280).

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

331300032 is a wasteful number, since it uses less digits than its factorization.

331300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 331300032 is about 18201.6491560518. The cubic root of 331300032 is about 691.9485856195.

Adding to 331300032 its reverse (230003133), we get a palindrome (561303165).

The spelling of 331300032 in words is "three hundred thirty-one million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 424 448 636 672 742 848 1113 1272 1344 1484 1696 2226 2544 2968 3392 4452 4651 5088 5936 8904 9302 10176 11872 13953 17808 18604 23744 27906 32557 35616 37208 55812 65114 71232 74416 97671 111624 130228 148832 195342 223248 246503 260456 297664 390684 446496 493006 520912 739509 781368 892992 986012 1041824 1479018 1562736 1725521 1972024 2083648 2958036 3125472 3451042 3944048 5176563 5916072 6250944 6902084 7888096 10353126 11832144 13804168 15776192 20706252 23664288 27608336 41412504 47328576 55216672 82825008 110433344 165650016 331300032