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3800348144 = 242337279109
BaseRepresentation
bin1110001010000100…
…1011010111110000
3100210212000200120222
43202201023113300
530240342120034
61425034352212
7163114266125
oct34241132760
910725020528
103800348144
11168021989a
128a088b668
13487459a18
14280a2274c
1517398912e
hexe284b5f0

3800348144 has 40 divisors (see below), whose sum is σ = 7890997920. Its totient is φ = 1768428288.

The previous prime is 3800348143. The next prime is 3800348161. The reversal of 3800348144 is 4418430083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3800348143) 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, 125939 + ... + 153170.

It is an arithmetic number, because the mean of its divisors is an integer number (197274948).

Almost surely, 23800348144 is an apocalyptic number.

It is an amenable number.

3800348144 is an abundant number, since it is smaller than the sum of its proper divisors (4090649776).

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

3800348144 is a wasteful number, since it uses less digits than its factorization.

3800348144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279177 (or 279171 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 3800348144 is about 61646.9637857373. The cubic root of 3800348144 is about 1560.5384049975.

The spelling of 3800348144 in words is "three billion, eight hundred million, three hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 37 46 74 92 148 184 296 368 592 851 1702 3404 6808 13616 279109 558218 1116436 2232872 4465744 6419507 10327033 12839014 20654066 25678028 41308132 51356056 82616264 102712112 165232528 237521759 475043518 950087036 1900174072 3800348144