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3297408 = 27331277
BaseRepresentation
bin1100100101000010000000
320012112012020
430211002000
51321004113
6154401440
740012302
oct14450200
96175166
103297408
111952434
121130280
138b5b3a
1461b972
15452023
hex325080

3297408 has 64 divisors (see below), whose sum is σ = 9073920. Its totient is φ = 1059840.

The previous prime is 3297397. The next prime is 3297421. The reversal of 3297408 is 8047923.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11766 + ... + 12042.

It is an arithmetic number, because the mean of its divisors is an integer number (141780).

Almost surely, 23297408 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 3297408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536960).

3297408 is an abundant number, since it is smaller than the sum of its proper divisors (5776512).

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

3297408 is a wasteful number, since it uses less digits than its factorization.

3297408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3297408 is about 1815.8766477930. The cubic root of 3297408 is about 148.8415654491.

The spelling of 3297408 in words is "three million, two hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 277 372 384 496 554 744 831 992 1108 1488 1662 1984 2216 2976 3324 3968 4432 5952 6648 8587 8864 11904 13296 17174 17728 25761 26592 34348 35456 51522 53184 68696 103044 106368 137392 206088 274784 412176 549568 824352 1099136 1648704 3297408