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3903683328 = 28331274447
BaseRepresentation
bin1110100010101101…
…0111101100000000
3101002001110122211000
43220223113230000
530443320331303
61443205252000
7165510521646
oct35053275400
911061418730
103903683328
111723589076
1290b404000
134a299a5bc
14290641196
1517ca9bda3
hexe8ad7b00

3903683328 has 144 divisors (see below), whose sum is σ = 11637391360. Its totient is φ = 1290691584.

The previous prime is 3903683321. The next prime is 3903683341. The reversal of 3903683328 is 8233863093.

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

It is not an unprimeable number, because it can be changed into a prime (3903683321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 875601 + ... + 880047.

Almost surely, 23903683328 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 3903683328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5818695680).

3903683328 is an abundant number, since it is smaller than the sum of its proper divisors (7733708032).

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

3903683328 is a wasteful number, since it uses less digits than its factorization.

3903683328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4599 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3903683328 is about 62479.4632499352. The cubic root of 3903683328 is about 1574.5562976895.

The spelling of 3903683328 in words is "three billion, nine hundred three million, six hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 144 192 216 254 256 288 381 384 432 508 576 762 768 864 1016 1143 1152 1524 1728 2032 2286 2304 3048 3429 3456 4064 4447 4572 6096 6858 6912 8128 8894 9144 12192 13341 13716 16256 17788 18288 24384 26682 27432 32512 35576 36576 40023 48768 53364 54864 71152 73152 80046 97536 106728 109728 120069 142304 146304 160092 213456 219456 240138 284608 292608 320184 426912 438912 480276 564769 569216 640368 853824 877824 960552 1129538 1138432 1280736 1694307 1707648 1921104 2259076 2561472 3388614 3415296 3842208 4518152 5082921 5122944 6777228 7684416 9036304 10165842 10245888 13554456 15248763 15368832 18072608 20331684 27108912 30497526 30737664 36145216 40663368 54217824 60995052 72290432 81326736 108435648 121990104 144580864 162653472 216871296 243980208 325306944 433742592 487960416 650613888 975920832 1301227776 1951841664 3903683328