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3630968 = 2311431
BaseRepresentation
bin1101110110011101111000
320211110202022
431312131320
51412142333
6205454012
742601625
oct15663570
96743668
103630968
112060000
121271308
139a1903
146a734c
154bac98
hex376778

3630968 has 40 divisors (see below), whose sum is σ = 7730400. Its totient is φ = 1597200.

The previous prime is 3630967. The next prime is 3630971. The reversal of 3630968 is 8690363.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3630961) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 117113 + ... + 117143.

It is an arithmetic number, because the mean of its divisors is an integer number (193260).

Almost surely, 23630968 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 3630968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865200).

3630968 is an abundant number, since it is smaller than the sum of its proper divisors (4099432).

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

3630968 is an equidigital number, since it uses as much as digits as its factorization.

3630968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 3630968 is about 1905.5099055109. The cubic root of 3630968 is about 153.7000966120.

The spelling of 3630968 in words is "three million, six hundred thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 682 968 1331 1364 2662 2728 3751 5324 7502 10648 14641 15004 29282 30008 41261 58564 82522 117128 165044 330088 453871 907742 1815484 3630968