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3079328 = 25759233
BaseRepresentation
bin1011101111110010100000
312210110001012
423233302200
51242014303
6150000052
735113430
oct13576240
95713035
103079328
1118135aa
121046028
1383a7b5
145a22c0
1540c5d8
hex2efca0

3079328 has 48 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 1291776.

The previous prime is 3079319. The next prime is 3079331. The reversal of 3079328 is 8239703.

3079328 is digitally balanced in base 5 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

3079328 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 3079294 and 3079303.

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, 13100 + ... + 13332.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 23079328 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 3079328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

3079328 is an abundant number, since it is smaller than the sum of its proper divisors (3996832).

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

3079328 is a wasteful number, since it uses less digits than its factorization.

3079328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 3079328 is about 1754.8014132659. The cubic root of 3079328 is about 145.4851446988.

The spelling of 3079328 in words is "three million, seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 233 236 413 466 472 826 932 944 1631 1652 1864 1888 3262 3304 3728 6524 6608 7456 13048 13216 13747 26096 27494 52192 54988 96229 109976 192458 219952 384916 439904 769832 1539664 3079328