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3320474520 = 2335117573323
BaseRepresentation
bin1100010111101010…
…0110101110011000
322120102001120201210
43011322212232120
523300020141040
61305253143120
7145166365506
oct30572465630
98512046653
103320474520
111454359720
1278802aaa0
1340bc0072c
14236dc9676
15146799480
hexc5ea6b98

3320474520 has 128 divisors (see below), whose sum is σ = 10884637440. Its totient is φ = 803658240.

The previous prime is 3320474501. The next prime is 3320474579. The reversal of 3320474520 is 254740233.

It is a super-2 number, since 2×33204745202 = 22051102075938460800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 997579 + ... + 1000901.

It is an arithmetic number, because the mean of its divisors is an integer number (85036230).

Almost surely, 23320474520 is an apocalyptic number.

3320474520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320474520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442318720).

3320474520 is an abundant number, since it is smaller than the sum of its proper divisors (7564162920).

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

3320474520 is a wasteful number, since it uses less digits than its factorization.

3320474520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 3320474520 is about 57623.5587238414. The cubic root of 3320474520 is about 1491.8782553211.

The spelling of 3320474520 in words is "three billion, three hundred twenty million, four hundred seventy-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 757 1320 1514 2271 3028 3323 3785 4542 6056 6646 7570 8327 9084 9969 11355 13292 15140 16615 16654 18168 19938 22710 24981 26584 30280 33230 33308 36553 39876 41635 45420 49845 49962 66460 66616 73106 79752 83270 90840 99690 99924 109659 124905 132920 146212 166540 182765 199380 199848 219318 249810 292424 333080 365530 398760 438636 499620 548295 731060 877272 999240 1096590 1462120 2193180 2515511 4386360 5031022 7546533 10062044 12577555 15093066 20124088 25155110 27670621 30186132 37732665 50310220 55341242 60372264 75465330 83011863 100620440 110682484 138353105 150930660 166023726 221364968 276706210 301861320 332047452 415059315 553412420 664094904 830118630 1106824840 1660237260 3320474520