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3368015532 = 223377956393
BaseRepresentation
bin1100100010111111…
…1101011010101100
322200201111220202000
43020233331122230
523344202444112
61314112132300
7146314442160
oct31057753254
98621456660
103368015532
11147917aa12
1279bb37090
13418a077cb
1423d442ca0
1514aa3a7dc
hexc8bfd6ac

3368015532 has 96 divisors (see below), whose sum is σ = 10105804800. Its totient is φ = 950092416.

The previous prime is 3368015513. The next prime is 3368015533. The reversal of 3368015532 is 2355108633.

3368015532 is a `hidden beast` number, since 3 + 36 + 80 + 15 + 532 = 666.

It is a super-2 number, since 2×33680155322 = 22687057247586486048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3368015533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31528 + ... + 87920.

It is an arithmetic number, because the mean of its divisors is an integer number (105268800).

Almost surely, 23368015532 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 3368015532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052902400).

3368015532 is an abundant number, since it is smaller than the sum of its proper divisors (6737789268).

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

3368015532 is a wasteful number, since it uses less digits than its factorization.

3368015532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56492 (or 56484 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3368015532 is about 58034.6063310504. The cubic root of 3368015532 is about 1498.9645493925.

The spelling of 3368015532 in words is "three billion, three hundred sixty-eight million, fifteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 79 84 108 126 158 189 237 252 316 378 474 553 711 756 948 1106 1422 1659 2133 2212 2844 3318 4266 4977 6636 8532 9954 14931 19908 29862 56393 59724 112786 169179 225572 338358 394751 507537 676716 789502 1015074 1184253 1522611 1579004 2030148 2368506 3045222 3552759 4455047 4737012 6090444 7105518 8910094 10658277 13365141 14211036 17820188 21316554 26730282 31185329 40095423 42633108 53460564 62370658 80190846 93555987 120286269 124741316 160381692 187111974 240572538 280667961 374223948 481145076 561335922 842003883 1122671844 1684007766 3368015532