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3355843872 = 253733891231
BaseRepresentation
bin1100100000000110…
…0001110100100000
322122212121112100210
43020001201310200
523333044000442
61312555214120
7146106126243
oct31001416440
98585545323
103355843872
111472317197
12797a47340
13416335644
1423b99525a
1514993419c
hexc8061d20

3355843872 has 96 divisors (see below), whose sum is σ = 8959991040. Its totient is φ = 1099560960.

The previous prime is 3355843861. The next prime is 3355843919. The reversal of 3355843872 is 2783485533.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33558438722 = 22523376186479904768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2725497 + ... + 2726727.

It is an arithmetic number, because the mean of its divisors is an integer number (93333240).

Almost surely, 23355843872 is an apocalyptic number.

3355843872 is a gapful number since it is divisible by the number (32) 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 3355843872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479995520).

3355843872 is an abundant number, since it is smaller than the sum of its proper divisors (5604147168).

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

3355843872 is a wasteful number, since it uses less digits than its factorization.

3355843872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1698 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The square root of 3355843872 is about 57929.6458818799. The cubic root of 3355843872 is about 1497.1566688285.

The spelling of 3355843872 in words is "three billion, three hundred fifty-five million, eight hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 389 438 584 778 876 1167 1168 1231 1556 1752 2334 2336 2462 3112 3504 3693 4668 4924 6224 7008 7386 9336 9848 12448 14772 18672 19696 28397 29544 37344 39392 56794 59088 85191 89863 113588 118176 170382 179726 227176 269589 340764 359452 454352 478859 539178 681528 718904 908704 957718 1078356 1363056 1436577 1437808 1915436 2156712 2726112 2873154 2875616 3830872 4313424 5746308 7661744 8626848 11492616 15323488 22985232 34956707 45970464 69913414 104870121 139826828 209740242 279653656 419480484 559307312 838960968 1118614624 1677921936 3355843872