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3818416640 = 2959715377
BaseRepresentation
bin1110001110011000…
…0110101000000000
3100212010000122220112
43203212012220000
530310003313030
61430521530452
7163424002013
oct34346065000
910763018815
103818416640
11168a43aa35
128a6943a28
1348b114c3c
142831a737a
15175357a95
hexe3986a00

3818416640 has 80 divisors (see below), whose sum is σ = 9250236072. Its totient is φ = 1511522304.

The previous prime is 3818416603. The next prime is 3818416649. The reversal of 3818416640 is 466148183.

It can be written as a sum of positive squares in 4 ways, for example, as 3776839936 + 41576704 = 61456^2 + 6448^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3818416649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240632 + ... + 256008.

Almost surely, 23818416640 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 3818416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4625118036).

3818416640 is an abundant number, since it is smaller than the sum of its proper divisors (5431819432).

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

3818416640 is an equidigital number, since it uses as much as digits as its factorization.

3818416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15497 (or 15481 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 3818416640 is about 61793.3381522636. The cubic root of 3818416640 is about 1563.0076536277.

The spelling of 3818416640 in words is "three billion, eight hundred eighteen million, four hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 256 320 388 485 512 640 776 970 1280 1552 1940 2560 3104 3880 6208 7760 12416 15377 15520 24832 30754 31040 49664 61508 62080 76885 123016 124160 153770 246032 248320 307540 492064 615080 984128 1230160 1491569 1968256 2460320 2983138 3936512 4920640 5966276 7457845 7873024 9841280 11932552 14915690 19682560 23865104 29831380 39365120 47730208 59662760 95460416 119325520 190920832 238651040 381841664 477302080 763683328 954604160 1909208320 3818416640