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3379922560 = 27573124337
BaseRepresentation
bin1100100101110101…
…1000011010000000
322201112220212010001
43021131120122000
523410230010220
61315215245344
7146520603430
oct31135303200
98645825101
103379922560
111484972933
127a3b19854
1341b3163a1
14240c622c0
1514badd80a
hexc9758680

3379922560 has 128 divisors (see below), whose sum is σ = 9532707840. Its totient is φ = 1121402880.

The previous prime is 3379922531. The next prime is 3379922561. The reversal of 3379922560 is 652299733.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33799225602 = 22847753023193907200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3379922560.

It is not an unprimeable number, because it can be changed into a prime (3379922561) by changing a digit.

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, 126712 + ... + 151048.

It is an arithmetic number, because the mean of its divisors is an integer number (74474280).

Almost surely, 23379922560 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 3379922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4766353920).

3379922560 is an abundant number, since it is smaller than the sum of its proper divisors (6152785280).

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

3379922560 is a wasteful number, since it uses less digits than its factorization.

3379922560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24394 (or 24382 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 46.

The square root of 3379922560 is about 58137.1014069329. The cubic root of 3379922560 is about 1500.7289138805.

The spelling of 3379922560 in words is "three billion, three hundred seventy-nine million, nine hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 217 224 248 280 310 320 434 448 496 560 620 640 868 896 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 3968 4340 4480 4960 6944 8680 9920 13888 17360 19840 24337 27776 34720 48674 69440 97348 121685 138880 170359 194696 243370 340718 389392 486740 681436 754447 778784 851795 973480 1362872 1508894 1557568 1703590 1946960 2725744 3017788 3115136 3407180 3772235 3893920 5281129 5451488 6035576 6814360 7544470 7787840 10562258 10902976 12071152 13628720 15088940 15575680 21124516 21805952 24142304 26405645 27257440 30177880 42249032 48284608 52811290 54514880 60355760 84498064 96569216 105622580 109029760 120711520 168996128 211245160 241423040 337992256 422490320 482846080 675984512 844980640 1689961280 3379922560