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2841084384 = 253231399257
BaseRepresentation
bin1010100101010111…
…1000000111100000
321100000000001002120
42221111320013200
521304304200014
61145530144240
7130255550565
oct25125700740
97300001076
102841084384
111228799826
12673582080
133637b3528
141cd47a86c
15119652ba9
hexa95781e0

2841084384 has 96 divisors (see below), whose sum is σ = 7838933760. Its totient is φ = 899238912.

The previous prime is 2841084359. The next prime is 2841084391. The reversal of 2841084384 is 4834801482.

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

It is a congruent number.

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, 302284 + ... + 311540.

It is an arithmetic number, because the mean of its divisors is an integer number (81655560).

Almost surely, 22841084384 is an apocalyptic number.

2841084384 is a gapful number since it is divisible by the number (24) 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 2841084384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919466880).

2841084384 is an abundant number, since it is smaller than the sum of its proper divisors (4997849376).

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

2841084384 is a wasteful number, since it uses less digits than its factorization.

2841084384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9432 (or 9424 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 2841084384 is about 53301.8234584897. The cubic root of 2841084384 is about 1416.3199666348.

The spelling of 2841084384 in words is "two billion, eight hundred forty-one million, eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 139 184 276 278 368 417 552 556 736 834 1104 1112 1668 2208 2224 3197 3336 4448 6394 6672 9257 9591 12788 13344 18514 19182 25576 27771 37028 38364 51152 55542 74056 76728 102304 111084 148112 153456 212911 222168 296224 306912 425822 444336 638733 851644 888672 1277466 1286723 1703288 2554932 2573446 3406576 3860169 5109864 5146892 6813152 7720338 10219728 10293784 15440676 20439456 20587568 29594629 30881352 41175136 59189258 61762704 88783887 118378516 123525408 177567774 236757032 355135548 473514064 710271096 947028128 1420542192 2841084384