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3283344372 = 22372114671087
BaseRepresentation
bin1100001110110011…
…1101101111110100
322110211012011202010
43003230331233310
523211014004442
61301445244220
7144235652400
oct30354755764
98424164663
103283344372
1114353a9250
12777703670
13404300229
142320c2100
151433b2b9c
hexc3b3dbf4

3283344372 has 144 divisors (see below), whose sum is σ = 9751891968. Its totient is φ = 850207680.

The previous prime is 3283344353. The next prime is 3283344373. The reversal of 3283344372 is 2734433823.

It is a self number, because there is not a number n which added to its sum of digits gives 3283344372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3283344373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3020013 + ... + 3021099.

It is an arithmetic number, because the mean of its divisors is an integer number (67721472).

Almost surely, 23283344372 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 3283344372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875945984).

3283344372 is an abundant number, since it is smaller than the sum of its proper divisors (6468547596).

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

3283344372 is a wasteful number, since it uses less digits than its factorization.

3283344372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1577 counting only the distinct ones).

The product of its digits is 290304, while the sum is 39.

The square root of 3283344372 is about 57300.4744482975. The cubic root of 3283344372 is about 1486.2965805342.

The spelling of 3283344372 in words is "three billion, two hundred eighty-three million, three hundred forty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 467 539 588 924 934 1078 1087 1401 1617 1868 2156 2174 2802 3234 3261 3269 4348 5137 5604 6468 6522 6538 7609 9807 10274 11957 13044 13076 15218 15411 19614 20548 22827 22883 23914 30436 30822 35871 35959 39228 45654 45766 47828 53263 61644 68649 71742 71918 83699 91308 91532 106526 107877 137298 143484 143836 159789 167398 213052 215754 251097 251713 274596 319578 334796 431508 502194 503426 507629 585893 639156 755139 1004388 1006852 1015258 1171786 1510278 1522887 1757679 2030516 2343572 3020556 3045774 3515358 3553403 5583919 6091548 7030716 7106806 10660209 11167838 14213612 16751757 21320418 22335676 24873821 33503514 39087433 42640836 49747642 67007028 74621463 78174866 99495284 117262299 149242926 156349732 234524598 273612031 298485852 469049196 547224062 820836093 1094448124 1641672186 3283344372