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3116608 = 261119233
BaseRepresentation
bin1011111000111001000000
312212100011221
423320321000
51244212413
6150444424
735330215
oct13707100
95770157
103116608
111839610
121063714
13851761
145b1b0c
1541868d
hex2f8e40

3116608 has 56 divisors (see below), whose sum is σ = 7132320. Its totient is φ = 1336320.

The previous prime is 3116591. The next prime is 3116609. The reversal of 3116608 is 8066113.

It is not an unprimeable number, because it can be changed into a prime (3116609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13260 + ... + 13492.

Almost surely, 23116608 is an apocalyptic number.

3116608 is a gapful number since it is divisible by the number (38) 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 3116608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566160).

3116608 is an abundant number, since it is smaller than the sum of its proper divisors (4015712).

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

3116608 is a wasteful number, since it uses less digits than its factorization.

3116608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 3116608 is about 1765.3917412291. The cubic root of 3116608 is about 146.0698983500.

It can be divided in two parts, 3 and 116608, that added together give a palindrome (116611).

The spelling of 3116608 in words is "three million, one hundred sixteen thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 233 304 352 418 466 608 704 836 932 1216 1672 1864 2563 3344 3728 4427 5126 6688 7456 8854 10252 13376 14912 17708 20504 35416 41008 48697 70832 82016 97394 141664 164032 194788 283328 389576 779152 1558304 3116608