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2353097140 = 2253725712373
BaseRepresentation
bin1000110001000001…
…0110100110110100
320001222202201102221
42030100112212310
514304343102030
61025255012124
7112211665342
oct21420264664
96058681387
102353097140
11aa8297789
1255806a044
132b6676194
14184730992
15db8ade7a
hex8c4169b4

2353097140 has 48 divisors (see below), whose sum is σ = 5095217232. Its totient is φ = 912162816.

The previous prime is 2353097119. The next prime is 2353097167. The reversal of 2353097140 is 417903532.

It can be written as a sum of positive squares in 8 ways, for example, as 525876624 + 1827220516 = 22932^2 + 42746^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2353097096 and 2353097105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183994 + ... + 196366.

It is an arithmetic number, because the mean of its divisors is an integer number (106150359).

Almost surely, 22353097140 is an apocalyptic number.

2353097140 is a gapful number since it is divisible by the number (20) 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 2353097140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547608616).

2353097140 is an abundant number, since it is smaller than the sum of its proper divisors (2742120092).

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

2353097140 is a wasteful number, since it uses less digits than its factorization.

2353097140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12676 (or 12674 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 2353097140 is about 48508.7326158909. The cubic root of 2353097140 is about 1330.0867036019.

The spelling of 2353097140 in words is "two billion, three hundred fifty-three million, ninety-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 257 370 514 740 1028 1285 2570 5140 9509 12373 19018 24746 38036 47545 49492 61865 95090 123730 190180 247460 457801 915602 1831204 2289005 3179861 4578010 6359722 9156020 12719444 15899305 31798610 63597220 117654857 235309714 470619428 588274285 1176548570 2353097140