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3387114384 = 2433712715017
BaseRepresentation
bin1100100111100011…
…0100001110010000
322202001110020102220
43021320310032100
523414100130014
61320033341040
7146635666023
oct31170641620
98661406386
103387114384
111488a35195
127a6407780
1341c9639c4
14241bb51ba
1514c55e6a9
hexc9e34390

3387114384 has 80 divisors (see below), whose sum is σ = 9057896448. Its totient is φ = 1089801216.

The previous prime is 3387114377. The next prime is 3387114397. The reversal of 3387114384 is 4834117833.

It is a super-2 number, since 2×33871143842 = 22945087700599398912, which contains 22 as substring.

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, 218044 + ... + 233060.

Almost surely, 23387114384 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 3387114384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528948224).

3387114384 is an abundant number, since it is smaller than the sum of its proper divisors (5670782064).

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

3387114384 is a wasteful number, since it uses less digits than its factorization.

3387114384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15192 (or 15186 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 3387114384 is about 58198.9208147368. The cubic root of 3387114384 is about 1501.7925804724.

The spelling of 3387114384 in words is "three billion, three hundred eighty-seven million, one hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 127 148 222 254 296 381 444 508 592 762 888 1016 1524 1776 2032 3048 4699 6096 9398 14097 15017 18796 28194 30034 37592 45051 56388 60068 75184 90102 112776 120136 180204 225552 240272 360408 555629 720816 1111258 1666887 1907159 2222516 3333774 3814318 4445032 5721477 6667548 7628636 8890064 11442954 13335096 15257272 22885908 26670192 30514544 45771816 70564883 91543632 141129766 211694649 282259532 423389298 564519064 846778596 1129038128 1693557192 3387114384