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3332321096 = 23131729103631
BaseRepresentation
bin1100011010011111…
…0010111101001000
322121020100110011212
43012213302331020
523311033233341
61310355112252
7145402155566
oct30647627510
98536313155
103332321096
111460010185
1278bba2688
134114ba940
142387d0a36
151478395eb
hexc69f2f48

3332321096 has 128 divisors (see below), whose sum is σ = 7453555200. Its totient is φ = 1381847040.

The previous prime is 3332321089. The next prime is 3332321117. The reversal of 3332321096 is 6901232333.

It is a super-2 number, since 2×33323210962 = 22208727773693282432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5280701 + ... + 5281331.

It is an arithmetic number, because the mean of its divisors is an integer number (58230900).

Almost surely, 23332321096 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 3332321096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726777600).

3332321096 is an abundant number, since it is smaller than the sum of its proper divisors (4121234104).

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

3332321096 is a wasteful number, since it uses less digits than its factorization.

3332321096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 32.

The square root of 3332321096 is about 57726.2600208952. The cubic root of 3332321096 is about 1493.6503587043.

The spelling of 3332321096 in words is "three billion, three hundred thirty-two million, three hundred twenty-one thousand, ninety-six".

Divisors: 1 2 4 8 13 17 26 29 34 52 58 68 103 104 116 136 206 221 232 377 412 442 493 631 754 824 884 986 1262 1339 1508 1751 1768 1972 2524 2678 2987 3016 3502 3944 5048 5356 5974 6409 7004 8203 10712 10727 11948 12818 14008 16406 18299 21454 22763 23896 25636 32812 36598 38831 42908 45526 50779 51272 64993 65624 73196 77662 85816 91052 101558 129986 139451 146392 155324 182104 203116 237887 259972 278902 310648 311083 406232 475774 519944 557804 622166 660127 844909 951548 1104881 1115608 1244332 1320254 1689818 1884797 1903096 2209762 2488664 2640508 3379636 3769594 4044079 4419524 5281016 6759272 7539188 8088158 8839048 14363453 15078376 16176316 24502361 28726906 32041549 32352632 49004722 57453812 64083098 98009444 114907624 128166196 196018888 256332392 416540137 833080274 1666160548 3332321096