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2314192408 = 2311315571523
BaseRepresentation
bin1000100111101111…
…1100011000011000
312222021120011011221
42021323330120120
514214413124113
61021345101424
7111230211433
oct21173743030
95867504157
102314192408
11a88335010
12547027874
132ab5a4028
1417d4c481a
15d827698d
hex89efc618

2314192408 has 64 divisors (see below), whose sum is σ = 4898257920. Its totient is φ = 1015478400.

The previous prime is 2314192399. The next prime is 2314192409. The reversal of 2314192408 is 8042914132.

2314192408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314192409) 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, 1518735 + ... + 1520257.

It is an arithmetic number, because the mean of its divisors is an integer number (76535280).

Almost surely, 22314192408 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 2314192408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449128960).

2314192408 is an abundant number, since it is smaller than the sum of its proper divisors (2584065512).

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

2314192408 is a wasteful number, since it uses less digits than its factorization.

2314192408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 2314192408 is about 48106.0537562582. The cubic root of 2314192408 is about 1322.7156382378.

The spelling of 2314192408 in words is "two billion, three hundred fourteen million, one hundred ninety-two thousand, four hundred eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 557 682 1114 1364 1523 2228 2728 3046 4456 6092 6127 12184 12254 16753 17267 24508 33506 34534 47213 49016 67012 69068 94426 134024 138136 188852 189937 377704 379874 519343 759748 848311 1038686 1519496 1696622 2077372 3393244 4154744 6786488 9331421 18662842 26297641 37325684 52595282 74651368 105190564 210381128 289274051 578548102 1157096204 2314192408