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3391920444 = 22311179715583
BaseRepresentation
bin1100101000101100…
…1001100100111100
322202101111102010010
43022023021210330
523421312423234
61320324343220
7150024563613
oct31213114474
98671442103
103391920444
111490718040
127a7b44b10
13420957423
142426a687a
1514cbad6e9
hexca2c993c

3391920444 has 96 divisors (see below), whose sum is σ = 9236699136. Its totient is φ = 957358080.

The previous prime is 3391920431. The next prime is 3391920457. The reversal of 3391920444 is 4440291933.

It is an interprime number because it is at equal distance from previous prime (3391920431) and next prime (3391920457).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209877 + ... + 225459.

It is an arithmetic number, because the mean of its divisors is an integer number (96215616).

Almost surely, 23391920444 is an apocalyptic number.

3391920444 is a gapful number since it is divisible by the number (34) 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 3391920444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618349568).

3391920444 is an abundant number, since it is smaller than the sum of its proper divisors (5844778692).

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

3391920444 is a wasteful number, since it uses less digits than its factorization.

3391920444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15715 (or 15713 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 3391920444 is about 58240.1961191753. The cubic root of 3391920444 is about 1502.5025549351.

The spelling of 3391920444 in words is "three billion, three hundred ninety-one million, nine hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 97 102 132 187 194 204 291 374 388 561 582 748 1067 1122 1164 1649 2134 2244 3201 3298 4268 4947 6402 6596 9894 12804 15583 18139 19788 31166 36278 46749 54417 62332 72556 93498 108834 171413 186996 217668 264911 342826 514239 529822 685652 794733 1028478 1059644 1511551 1589466 2056956 2914021 3023102 3178932 4534653 5828042 6046204 8742063 9069306 11656084 16627061 17484126 18138612 25696367 33254122 34968252 49881183 51392734 66508244 77089101 99762366 102785468 154178202 199524732 282660037 308356404 565320074 847980111 1130640148 1695960222 3391920444