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2357053340 = 2252326319483
BaseRepresentation
bin1000110001111101…
…1100011110011100
320002021012201022212
42030133130132130
514311401201330
61025515455552
7112260423425
oct21437343634
96067181285
102357053340
11aaa54a074
125594575b8
132b742cb25
1418508064c
15dbde1295
hex8c7dc79c

2357053340 has 48 divisors (see below), whose sum is σ = 5184926208. Its totient is φ = 898353984.

The previous prime is 2357053313. The next prime is 2357053351. The reversal of 2357053340 is 433507532.

It is a junction number, because it is equal to n+sod(n) for n = 2357053297 and 2357053306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111239 + ... + 130721.

It is an arithmetic number, because the mean of its divisors is an integer number (108019296).

Almost surely, 22357053340 is an apocalyptic number.

2357053340 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 2357053340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592463104).

2357053340 is an abundant number, since it is smaller than the sum of its proper divisors (2827872868).

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

2357053340 is a wasteful number, since it uses less digits than its factorization.

2357053340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19778 (or 19776 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 32.

The square root of 2357053340 is about 48549.4937151769. The cubic root of 2357053340 is about 1330.8316994452.

The spelling of 2357053340 in words is "two billion, three hundred fifty-seven million, fifty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 263 460 526 1052 1315 2630 5260 6049 12098 19483 24196 30245 38966 60490 77932 97415 120980 194830 389660 448109 896218 1792436 2240545 4481090 5124029 8962180 10248058 20496116 25620145 51240290 102480580 117852667 235705334 471410668 589263335 1178526670 2357053340