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3386970132 = 22371330710103
BaseRepresentation
bin1100100111100001…
…0001000000010100
322202001011220120020
43021320101000110
523414031021012
61320030305140
7146634525330
oct31170210024
98661156506
103386970132
111488946877
127a63581b0
1341c913150
14241b787c0
1514c531a8c
hexc9e11014

3386970132 has 96 divisors (see below), whose sum is σ = 9759332352. Its totient is φ = 890269056.

The previous prime is 3386970109. The next prime is 3386970149. The reversal of 3386970132 is 2310796833.

It is a happy number.

It is a super-2 number, since 2×33869701322 = 22943133350120194848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330193 + ... + 340295.

It is an arithmetic number, because the mean of its divisors is an integer number (101659712).

Almost surely, 23386970132 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 3386970132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4879666176).

3386970132 is an abundant number, since it is smaller than the sum of its proper divisors (6372362220).

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

3386970132 is a wasteful number, since it uses less digits than its factorization.

3386970132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10437 (or 10435 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 3386970132 is about 58197.6815002110. The cubic root of 3386970132 is about 1501.7712604898.

The spelling of 3386970132 in words is "three billion, three hundred eighty-six million, nine hundred seventy thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 307 364 546 614 921 1092 1228 1842 2149 3684 3991 4298 6447 7982 8596 10103 11973 12894 15964 20206 23946 25788 27937 30309 40412 47892 55874 60618 70721 83811 111748 121236 131339 141442 167622 212163 262678 282884 335244 394017 424326 525356 788034 848652 919373 1576068 1838746 2758119 3101621 3677492 5516238 6203242 9304863 11032476 12406484 18609726 21711347 37219452 40321073 43422694 65134041 80642146 86845388 120963219 130268082 161284292 241926438 260536164 282247511 483852876 564495022 846742533 1128990044 1693485066 3386970132