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3320435172 = 22317311094817
BaseRepresentation
bin1100010111101001…
…1101000111100100
322120101222120202110
43011322131013210
523300012411142
61305252241020
7145166143005
oct30572350744
98511876673
103320435172
1114543320aa
12788010170
1340bbb8852
14236db91ac
1514678c99c
hexc5e9d1e4

3320435172 has 96 divisors (see below), whose sum is σ = 8547517440. Its totient is φ = 998645760.

The previous prime is 3320435113. The next prime is 3320435207. The reversal of 3320435172 is 2715340233.

It is a super-2 number, since 2×33204351722 = 22050579462909339168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686908 + ... + 691724.

It is an arithmetic number, because the mean of its divisors is an integer number (89036640).

Almost surely, 23320435172 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 3320435172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273758720).

3320435172 is an abundant number, since it is smaller than the sum of its proper divisors (5227082268).

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

3320435172 is a wasteful number, since it uses less digits than its factorization.

3320435172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 3320435172 is about 57623.2172999738. The cubic root of 3320435172 is about 1491.8723623223.

The spelling of 3320435172 in words is "three billion, three hundred twenty million, four hundred thirty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 109 124 186 204 218 327 372 436 527 654 1054 1308 1581 1853 2108 3162 3379 3706 4817 5559 6324 6758 7412 9634 10137 11118 13516 14451 19268 20274 22236 28902 40548 57443 57804 81889 114886 149327 163778 172329 229772 245667 298654 327556 344658 447981 491334 525053 597308 689316 895962 982668 1050106 1575159 1791924 2100212 2538559 3150318 5077118 6300636 7615677 8925901 10154236 15231354 16276643 17851802 26777703 30462708 32553286 35703604 48829929 53555406 65106572 97659858 107110812 195319716 276702931 553405862 830108793 1106811724 1660217586 3320435172