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3304431144 = 2332731320947
BaseRepresentation
bin1100010011110101…
…1001111000101000
322112021212111100200
43010331121320220
523231413244034
61303521232200
7144613126020
oct30475317050
98467774320
103304431144
1114462a1033
12782792660
134087a4201
14234c10a80
1514517aa99
hexc4f59e28

3304431144 has 96 divisors (see below), whose sum is σ = 10261168320. Its totient is φ = 941061888.

The previous prime is 3304431139. The next prime is 3304431167. The reversal of 3304431144 is 4411344033.

3304431144 is a `hidden beast` number, since 3 + 304 + 4 + 311 + 44 = 666.

3304431144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 147279 + ... + 168225.

It is an arithmetic number, because the mean of its divisors is an integer number (106887170).

Almost surely, 23304431144 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 3304431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130584160).

3304431144 is an abundant number, since it is smaller than the sum of its proper divisors (6956737176).

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

3304431144 is a wasteful number, since it uses less digits than its factorization.

3304431144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21279 (or 21272 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3304431144 is about 57484.1816850514. The cubic root of 3304431144 is about 1489.4716298418.

Adding to 3304431144 its reverse (4411344033), we get a palindrome (7715775177).

The spelling of 3304431144 in words is "three billion, three hundred four million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 313 504 626 939 1252 1878 2191 2504 2817 3756 4382 5634 6573 7512 8764 11268 13146 17528 19719 20947 22536 26292 39438 41894 52584 62841 78876 83788 125682 146629 157752 167576 188523 251364 293258 377046 439887 502728 586516 754092 879774 1173032 1319661 1508184 1759548 2639322 3519096 5278644 6556411 10557288 13112822 19669233 26225644 39338466 45894877 52451288 59007699 78676932 91789754 118015398 137684631 157353864 183579508 236030796 275369262 367159016 413053893 472061592 550738524 826107786 1101477048 1652215572 3304431144