Search a number
-
+
10204356344 = 2371358723879
BaseRepresentation
bin10011000000011101…
…00001111011111000
3222100011022000022212
421200032201323320
5131344303400334
64404322434252
7510605412020
oct114016417370
928304260285
1010204356344
114367102a56
121b89502988
13c6813b5a0
146cb35aa80
153eacc7ece
hex2603a1ef8

10204356344 has 64 divisors (see below), whose sum is σ = 23589619200. Its totient is φ = 4029842304.

The previous prime is 10204356329. The next prime is 10204356347. The reversal of 10204356344 is 44365340201.

It is a self number, because there is not a number n which added to its sum of digits gives 10204356344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204356347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415397 + ... + 439275.

It is an arithmetic number, because the mean of its divisors is an integer number (368587800).

Almost surely, 210204356344 is an apocalyptic number.

10204356344 is a gapful number since it is divisible by the number (14) 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 10204356344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11794809600).

10204356344 is an abundant number, since it is smaller than the sum of its proper divisors (13385262856).

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

10204356344 is a wasteful number, since it uses less digits than its factorization.

10204356344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24492 (or 24488 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 10204356344 its reverse (44365340201), we get a palindrome (54569696545).

The spelling of 10204356344 in words is "ten billion, two hundred four million, three hundred fifty-six thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 587 728 1174 2348 4109 4696 7631 8218 15262 16436 23879 30524 32872 47758 53417 61048 95516 106834 167153 191032 213668 310427 334306 427336 620854 668612 1241708 1337224 2172989 2483416 4345978 8691956 14016973 17383912 28033946 56067892 98118811 112135784 182220649 196237622 364441298 392475244 728882596 784950488 1275544543 1457765192 2551089086 5102178172 10204356344