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3312008 = 23731771
BaseRepresentation
bin1100101000100110001000
320020021012222
430220212020
51321441013
6154553212
740103000
oct14504610
96207188
103312008
1119623a7
121138808
138bc68b
14623000
15456508
hex328988

3312008 has 64 divisors (see below), whose sum is σ = 7776000. Its totient is φ = 1317120.

The previous prime is 3311999. The next prime is 3312013. The reversal of 3312008 is 8002133.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46613 + ... + 46683.

It is an arithmetic number, because the mean of its divisors is an integer number (121500).

Almost surely, 23312008 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 3312008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888000).

3312008 is an abundant number, since it is smaller than the sum of its proper divisors (4463992).

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

3312008 is a wasteful number, since it uses less digits than its factorization.

3312008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3312008 is about 1819.8923045060. The cubic root of 3312008 is about 149.0609182911.

The spelling of 3312008 in words is "three million, three hundred twelve thousand, eight".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 71 98 119 136 142 196 238 284 343 392 476 497 568 686 833 952 994 1207 1372 1666 1988 2414 2744 3332 3479 3976 4828 5831 6664 6958 8449 9656 11662 13916 16898 23324 24353 27832 33796 46648 48706 59143 67592 97412 118286 194824 236572 414001 473144 828002 1656004 3312008