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3342663136 = 254315715473
BaseRepresentation
bin1100011100111100…
…1111110111100000
322121221210212210101
43013033033313200
523321210210021
61311404512144
7145556111401
oct30717176740
98557725711
103342663136
11146593431a
1279354b654
1341369c0a7
14239d239a8
151486cda91
hexc73cfde0

3342663136 has 48 divisors (see below), whose sum is σ = 6777240624. Its totient is φ = 1621960704.

The previous prime is 3342663091. The next prime is 3342663151. The reversal of 3342663136 is 6313662433.

It is a super-2 number, since 2×33426631362 = 22346793681546708992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3342663095 and 3342663104.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 208296 + ... + 223768.

It is an arithmetic number, because the mean of its divisors is an integer number (141192513).

Almost surely, 23342663136 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 3342663136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388620312).

3342663136 is an abundant number, since it is smaller than the sum of its proper divisors (3434577488).

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

3342663136 is a wasteful number, since it uses less digits than its factorization.

3342663136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15683 (or 15675 counting only the distinct ones).

The product of its digits is 139968, while the sum is 37.

The square root of 3342663136 is about 57815.7689216359. The cubic root of 3342663136 is about 1495.1939713195.

The spelling of 3342663136 in words is "three billion, three hundred forty-two million, six hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 43 86 157 172 314 344 628 688 1256 1376 2512 5024 6751 13502 15473 27004 30946 54008 61892 108016 123784 216032 247568 495136 665339 1330678 2429261 2661356 4858522 5322712 9717044 10645424 19434088 21290848 38868176 77736352 104458223 208916446 417832892 835665784 1671331568 3342663136