Search a number
-
+
3391044096 = 29311419479
BaseRepresentation
bin1100101000011111…
…0011101000000000
322202022211212222210
43022013303220000
523421101402341
61320253502120
7150014253636
oct31207635000
98668755883
103391044096
111490179690
127a77a1940
1342070b58b
14242519356
1514ca88c16
hexca1f3a00

3391044096 has 160 divisors (see below), whose sum is σ = 9899366400. Its totient is φ = 1022996480.

The previous prime is 3391044067. The next prime is 3391044101. The reversal of 3391044096 is 6904401933.

It is a super-2 number, since 2×33910440962 = 22998360122032914432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7079185 + ... + 7079663.

It is an arithmetic number, because the mean of its divisors is an integer number (61871040).

Almost surely, 23391044096 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 3391044096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4949683200).

3391044096 is an abundant number, since it is smaller than the sum of its proper divisors (6508322304).

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

3391044096 is a wasteful number, since it uses less digits than its factorization.

3391044096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 3391044096 is about 58232.6720664611. The cubic root of 3391044096 is about 1502.3731465813.

The spelling of 3391044096 in words is "three billion, three hundred ninety-one million, forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 419 479 512 528 704 768 838 958 1056 1257 1408 1437 1536 1676 1916 2112 2514 2816 2874 3352 3832 4224 4609 5028 5269 5632 5748 6704 7664 8448 9218 10056 10538 11496 13408 13827 15328 15807 16896 18436 20112 21076 22992 26816 27654 30656 31614 36872 40224 42152 45984 53632 55308 61312 63228 73744 80448 84304 91968 107264 110616 122624 126456 147488 160896 168608 183936 200701 214528 221232 245248 252912 294976 321792 337216 367872 401402 442464 505824 589952 602103 643584 674432 735744 802804 884928 1011648 1179904 1204206 1348864 1605608 1769856 2023296 2207711 2359808 2408412 2697728 3211216 3539712 4046592 4415422 4816824 6422432 6623133 7079424 8093184 8830844 9633648 12844864 13246266 17661688 19267296 25689728 26492532 35323376 38534592 51379456 52985064 70646752 77069184 102758912 105970128 141293504 154138368 211940256 282587008 308276736 423880512 565174016 847761024 1130348032 1695522048 3391044096