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3389853384 = 2332192985447
BaseRepresentation
bin1100101000001101…
…0000111011001000
322202020121101122100
43022003100323020
523420300302014
61320212153400
7150001164321
oct31203207310
98666541570
103389853384
11148a536025
127a7308860
134203b2608
142422c9448
1514c901009
hexca0d0ec8

3389853384 has 96 divisors (see below), whose sum is σ = 9997416000. Its totient is φ = 1033554816.

The previous prime is 3389853373. The next prime is 3389853407. The reversal of 3389853384 is 4833589833.

It is a super-2 number, since 2×33898533842 = 22982211930032502912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3389853384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3052 + ... + 82395.

It is an arithmetic number, because the mean of its divisors is an integer number (104139750).

Almost surely, 23389853384 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 3389853384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4998708000).

3389853384 is an abundant number, since it is smaller than the sum of its proper divisors (6607562616).

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

3389853384 is a wasteful number, since it uses less digits than its factorization.

3389853384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85507 (or 85500 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 3389853384 is about 58222.4474236527. The cubic root of 3389853384 is about 1502.1972810656.

The spelling of 3389853384 in words is "three billion, three hundred eighty-nine million, eight hundred fifty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 29 36 38 57 58 72 76 87 114 116 152 171 174 228 232 261 342 348 456 522 551 684 696 1044 1102 1368 1653 2088 2204 3306 4408 4959 6612 9918 13224 19836 39672 85447 170894 256341 341788 512682 683576 769023 1025364 1538046 1623493 2050728 2477963 3076092 3246986 4870479 4955926 6152184 6493972 7433889 9740958 9911852 12987944 14611437 14867778 19481916 19823704 22301667 29222874 29735556 38963832 44603334 47081297 58445748 59471112 89206668 94162594 116891496 141243891 178413336 188325188 282487782 376650376 423731673 564975564 847463346 1129951128 1694926692 3389853384