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2352134096 = 241318162477
BaseRepresentation
bin1000110000110010…
…1011011111010000
320001220221210101122
42030030223133100
514304121242341
61025222221412
7112200544544
oct21414533720
96056853348
102352134096
11aa779a184
12557884868
132b63c9a30
1418455da24
15db76d94b
hex8c32b7d0

2352134096 has 40 divisors (see below), whose sum is σ = 4935012264. Its totient is φ = 1079585280.

The previous prime is 2352134069. The next prime is 2352134111. The reversal of 2352134096 is 6904312532.

It can be written as a sum of positive squares in 4 ways, for example, as 226924096 + 2125210000 = 15064^2 + 46100^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6410 + ... + 68886.

Almost surely, 22352134096 is an apocalyptic number.

2352134096 is a gapful number since it is divisible by the number (26) 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 2352134096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467506132).

2352134096 is an abundant number, since it is smaller than the sum of its proper divisors (2582878168).

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

2352134096 is a wasteful number, since it uses less digits than its factorization.

2352134096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62679 (or 62673 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 2352134096 is about 48498.8050986826. The cubic root of 2352134096 is about 1329.9052255002.

The spelling of 2352134096 in words is "two billion, three hundred fifty-two million, one hundred thirty-four thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 181 208 362 724 1448 2353 2896 4706 9412 18824 37648 62477 124954 249908 499816 812201 999632 1624402 3248804 6497608 11308337 12995216 22616674 45233348 90466696 147008381 180933392 294016762 588033524 1176067048 2352134096