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3379481136 = 2433173712437
BaseRepresentation
bin1100100101101110…
…1100101000110000
322201112002102121000
43021123230220300
523410121344021
61315202002000
7146514054453
oct31133545060
98645072530
103379481136
1114846a1219
127a3946300
1341b1c04a5
14240b8949a
1514ba52b26
hexc96eca30

3379481136 has 160 divisors (see below), whose sum is σ = 10549414080. Its totient is φ = 1031491584.

The previous prime is 3379481117. The next prime is 3379481137. The reversal of 3379481136 is 6311849733.

3379481136 is a `hidden beast` number, since 3 + 37 + 9 + 481 + 136 = 666.

It is a super-2 number, since 2×33794811362 = 22841785497159700992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3379481091 and 3379481100.

It is not an unprimeable number, because it can be changed into a prime (3379481137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265510 + ... + 277946.

It is an arithmetic number, because the mean of its divisors is an integer number (65933838).

Almost surely, 23379481136 is an apocalyptic number.

3379481136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3379481136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274707040).

3379481136 is an abundant number, since it is smaller than the sum of its proper divisors (7169932944).

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

3379481136 is a wasteful number, since it uses less digits than its factorization.

3379481136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12508 (or 12496 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3379481136 is about 58133.3048776689. The cubic root of 3379481136 is about 1500.6635783992.

The spelling of 3379481136 in words is "three billion, three hundred seventy-nine million, four hundred eighty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 37 48 51 54 68 72 74 102 108 111 136 144 148 153 204 216 222 272 296 306 333 408 432 444 459 592 612 629 666 816 888 918 999 1224 1258 1332 1776 1836 1887 1998 2448 2516 2664 3672 3774 3996 5032 5328 5661 7344 7548 7992 10064 11322 12437 15096 15984 16983 22644 24874 30192 33966 37311 45288 49748 67932 74622 90576 99496 111933 135864 149244 198992 211429 223866 271728 298488 335799 422858 447732 460169 596976 634287 671598 845716 895464 920338 1268574 1343196 1380507 1691432 1790928 1840676 1902861 2537148 2686392 2761014 3382864 3681352 3805722 4141521 5074296 5372784 5522028 5708583 7362704 7611444 7822873 8283042 10148592 11044056 11417166 12424563 15222888 15645746 16566084 22088112 22834332 23468619 24849126 30445776 31291492 33132168 45668664 46937238 49698252 62582984 66264336 70405857 91337328 93874476 99396504 125165968 140811714 187748952 198793008 211217571 281623428 375497904 422435142 563246856 844870284 1126493712 1689740568 3379481136