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3300472252 = 22711292231657
BaseRepresentation
bin1100010010111001…
…0011010110111100
322112000102100210001
43010232103112330
523224410103002
61303300324044
7144534360040
oct30456232674
98460370701
103300472252
111444037720
127813a3624
13407a1927c
142344a0020
15144b47a87
hexc4b935bc

3300472252 has 96 divisors (see below), whose sum is σ = 7487262720. Its totient is φ = 1235243520.

The previous prime is 3300472249. The next prime is 3300472271. The reversal of 3300472252 is 2522740033.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3300472252.

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, 1991008 + ... + 1992664.

It is an arithmetic number, because the mean of its divisors is an integer number (77992320).

Almost surely, 23300472252 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 3300472252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743631360).

3300472252 is an abundant number, since it is smaller than the sum of its proper divisors (4186790468).

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

3300472252 is a wasteful number, since it uses less digits than its factorization.

3300472252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 3300472252 is about 57449.7367443925. The cubic root of 3300472252 is about 1488.8765688996.

The spelling of 3300472252 in words is "three billion, three hundred million, four hundred seventy-two thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 223 308 319 406 446 638 812 892 1276 1561 1657 2233 2453 3122 3314 4466 4906 6244 6467 6628 8932 9812 11599 12934 17171 18227 23198 25868 34342 36454 45269 46396 48053 68684 71137 72908 90538 96106 127589 142274 181076 192212 255178 284548 336371 369511 497959 510356 528583 672742 739022 995918 1057166 1345484 1478044 1991836 2114332 2586577 3700081 4064621 5173154 7400162 8129242 10346308 10715819 14800324 16258484 21431638 28452347 42863276 56904694 75010733 113809388 117874009 150021466 235748018 300042932 471496036 825118063 1650236126 3300472252