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3332490336 = 2535761223
BaseRepresentation
bin1100011010100001…
…1100010001100000
322121020200001100000
43012220130101200
523311104142321
61310402500000
7145403462160
oct30650342140
98536601300
103332490336
11146011634a
12790064600
13411549996
142388365a0
1514786e826
hexc6a1c460

3332490336 has 144 divisors (see below), whose sum is σ = 11231910144. Its totient is φ = 952124544.

The previous prime is 3332490307. The next prime is 3332490341. The reversal of 3332490336 is 6330942333.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33324903362 = 22210983679066785792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3332490336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23821 + ... + 85043.

It is an arithmetic number, because the mean of its divisors is an integer number (77999376).

Almost surely, 23332490336 is an apocalyptic number.

3332490336 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 3332490336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5615955072).

3332490336 is an abundant number, since it is smaller than the sum of its proper divisors (7899419808).

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

3332490336 is an equidigital number, since it uses as much as digits as its factorization.

3332490336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61255 (or 61235 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

The square root of 3332490336 is about 57727.7258862672. The cubic root of 3332490336 is about 1493.6756444936.

The spelling of 3332490336 in words is "three billion, three hundred thirty-two million, four hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 27216 54432 61223 122446 183669 244892 367338 428561 489784 551007 734676 857122 979568 1102014 1285683 1469352 1653021 1714244 1959136 2204028 2571366 2938704 3306042 3428488 3857049 4408056 4959063 5142732 5877408 6612084 6856976 7714098 8816112 9918126 10285464 11571147 13224168 13713952 14877189 15428196 17632224 19836252 20570928 23142294 26448336 29754378 30856392 34713441 39672504 41141856 46284588 52896672 59508756 61712784 69426882 79345008 92569176 104140323 119017512 123425568 138853764 158690016 185138352 208280646 238035024 277707528 370276704 416561292 476070048 555415056 833122584 1110830112 1666245168 3332490336