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3323125008 = 243372347779
BaseRepresentation
bin1100011000010010…
…1101110100010000
322120121001020112000
43012010231310100
523301210000013
61305430034000
7145231045050
oct30604556420
98517036460
103323125008
1114558aa005
12788aa8900
1340c61ac78
142374b9560
15146b1e973
hexc612dd10

3323125008 has 160 divisors (see below), whose sum is σ = 11375462400. Its totient is φ = 908164224.

The previous prime is 3323125007. The next prime is 3323125009. The reversal of 3323125008 is 8005213233.

It is an interprime number because it is at equal distance from previous prime (3323125007) and next prime (3323125009).

It is a super-2 number, since 2×33231250082 = 22086319637590000128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3323125007) 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 31 ways as a sum of consecutive naturals, for example, 45663 + ... + 93441.

It is an arithmetic number, because the mean of its divisors is an integer number (71096640).

Almost surely, 23323125008 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 3323125008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687731200).

3323125008 is an abundant number, since it is smaller than the sum of its proper divisors (8052337392).

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

3323125008 is a wasteful number, since it uses less digits than its factorization.

3323125008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47826 (or 47814 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3323125008 is about 57646.5524381120. The cubic root of 3323125008 is about 1492.2751015891.

The spelling of 3323125008 in words is "three billion, three hundred twenty-three million, one hundred twenty-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 54 56 63 69 72 84 92 108 112 126 138 144 161 168 184 189 207 216 252 276 322 336 368 378 414 432 483 504 552 621 644 756 828 966 1008 1104 1242 1288 1449 1512 1656 1932 2484 2576 2898 3024 3312 3864 4347 4968 5796 7728 8694 9936 11592 17388 23184 34776 47779 69552 95558 143337 191116 286674 334453 382232 430011 573348 668906 764464 860022 1003359 1098917 1146696 1290033 1337812 1720044 2006718 2197834 2293392 2580066 2675624 3010077 3296751 3440088 4013436 4395668 5160132 5351248 6020154 6593502 6880176 7692419 8026872 8791336 9030231 9890253 10320264 12040308 13187004 15384838 16053744 17582672 18060462 19780506 20640528 23077257 24080616 26374008 29670759 30769676 36120924 39561012 46154514 48161232 52748016 59341518 61539352 69231771 72241848 79122024 92309028 118683036 123078704 138463542 144483696 158244048 184618056 207695313 237366072 276927084 369236112 415390626 474732144 553854168 830781252 1107708336 1661562504 3323125008