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3379933144 = 237293205993
BaseRepresentation
bin1100100101110101…
…1010111111011000
322201112221101122001
43021131122333120
523410230330034
61315215410344
7146520646330
oct31135327730
98645841561
103379933144
11148497a885
127a3b239b4
1341b31b153
14240c660c0
1514bae1a14
hexc975afd8

3379933144 has 32 divisors (see below), whose sum is σ = 7267468320. Its totient is φ = 1443591936.

The previous prime is 3379933127. The next prime is 3379933163. The reversal of 3379933144 is 4413399733.

It is a happy number.

It is a super-2 number, since 2×33799331442 = 22847896115819449472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3379933094 and 3379933103.

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, 86589 + ... + 119404.

It is an arithmetic number, because the mean of its divisors is an integer number (227108385).

Almost surely, 23379933144 is an apocalyptic number.

It is an amenable number.

3379933144 is an abundant number, since it is smaller than the sum of its proper divisors (3887535176).

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

3379933144 is a wasteful number, since it uses less digits than its factorization.

3379933144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206299 (or 206295 counting only the distinct ones).

The product of its digits is 734832, while the sum is 46.

The square root of 3379933144 is about 58137.1924330716. The cubic root of 3379933144 is about 1500.7304803560.

The spelling of 3379933144 in words is "three billion, three hundred seventy-nine million, nine hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 293 586 1172 2051 2344 4102 8204 16408 205993 411986 823972 1441951 1647944 2883902 5767804 11535608 60355949 120711898 241423796 422491643 482847592 844983286 1689966572 3379933144