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3320096 = 251323347
BaseRepresentation
bin1100101010100100100000
320020200022112
430222210200
51322220341
6155054452
740135403
oct14524440
96220275
103320096
11196848a
121141428
138c3270
14625d3a
15458aeb
hex32a920

3320096 has 48 divisors (see below), whose sum is σ = 7366464. Its totient is φ = 1461504.

The previous prime is 3320089. The next prime is 3320099. The reversal of 3320096 is 6900233.

It is a happy number.

It is a super-2 number, since 2×33200962 = 22046074898432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320099) 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, 9395 + ... + 9741.

It is an arithmetic number, because the mean of its divisors is an integer number (153468).

Almost surely, 23320096 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 3320096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683232).

3320096 is an abundant number, since it is smaller than the sum of its proper divisors (4046368).

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

3320096 is a wasteful number, since it uses less digits than its factorization.

3320096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 3320096 is about 1822.1130590608. The cubic root of 3320096 is about 149.1821563904.

The spelling of 3320096 in words is "three million, three hundred twenty thousand, ninety-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 347 368 416 598 694 736 1196 1388 2392 2776 4511 4784 5552 7981 9022 9568 11104 15962 18044 31924 36088 63848 72176 103753 127696 144352 207506 255392 415012 830024 1660048 3320096