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3093376 = 2711133
BaseRepresentation
bin1011110011001110000000
312211011022111
423303032000
51242442001
6150145104
735202406
oct13631600
95734274
103093376
111823110
121052194
13844000
145a7476
15411851
hex2f3380

3093376 has 64 divisors (see below), whose sum is σ = 7282800. Its totient is φ = 1297920.

The previous prime is 3093361. The next prime is 3093383. The reversal of 3093376 is 6733903.

It is a happy number.

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

It is a nialpdrome in base 13.

It is a congruent number.

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, 237946 + ... + 237958.

Almost surely, 23093376 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 3093376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641400).

3093376 is an abundant number, since it is smaller than the sum of its proper divisors (4189424).

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

3093376 is an equidigital number, since it uses as much as digits as its factorization.

3093376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 31.

The square root of 3093376 is about 1758.7995906299. The cubic root of 3093376 is about 145.7060451941.

The spelling of 3093376 in words is "three million, ninety-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 169 176 208 286 338 352 416 572 676 704 832 1144 1352 1408 1664 1859 2197 2288 2704 3718 4394 4576 5408 7436 8788 9152 10816 14872 17576 18304 21632 24167 29744 35152 48334 59488 70304 96668 118976 140608 193336 237952 281216 386672 773344 1546688 3093376