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3745608384 = 26376594229
BaseRepresentation
bin1101111101000001…
…0111001011000000
3100200001000121202110
43133100113023000
530132333432014
61415401215320
7161551101030
oct33720271300
910601017673
103745608384
111652331021
12886491540
1347900212b
142776538c0
1516dc74d59
hexdf4172c0

3745608384 has 112 divisors (see below), whose sum is σ = 11345875200. Its totient is φ = 1068297216.

The previous prime is 3745608367. The next prime is 3745608403. The reversal of 3745608384 is 4838065473.

It is a tau number, because it is divible by the number of its divisors (112).

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, 883582 + ... + 887810.

Almost surely, 23745608384 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 3745608384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5672937600).

3745608384 is an abundant number, since it is smaller than the sum of its proper divisors (7600266816).

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

3745608384 is a wasteful number, since it uses less digits than its factorization.

3745608384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The square root of 3745608384 is about 61201.3756708132. The cubic root of 3745608384 is about 1553.0095373191.

The spelling of 3745608384 in words is "three billion, seven hundred forty-five million, six hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 659 672 1318 1344 1977 2636 3954 4229 4613 5272 7908 8458 9226 10544 12687 13839 15816 16916 18452 21088 25374 27678 29603 31632 33832 36904 42176 50748 55356 59206 63264 67664 73808 88809 101496 110712 118412 126528 135328 147616 177618 202992 221424 236824 270656 295232 355236 405984 442848 473648 710472 811968 885696 947296 1420944 1894592 2786911 2841888 5573822 5683776 8360733 11147644 16721466 19508377 22295288 33442932 39016754 44590576 58525131 66885864 78033508 89181152 117050262 133771728 156067016 178362304 234100524 267543456 312134032 468201048 535086912 624268064 936402096 1248536128 1872804192 3745608384