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2357426136 = 2331325130103
BaseRepresentation
bin1000110010000011…
…0111011111011000
320002021220122201010
42030200313133120
514312000114021
61025531453520
7112263535332
oct21440673730
96067818633
102357426136
11aaa78416a
125595b72a0
132b7530710
1418513a452
15dbe66976
hex8c8377d8

2357426136 has 64 divisors (see below), whose sum is σ = 6372414720. Its totient is φ = 722448000.

The previous prime is 2357426117. The next prime is 2357426143. The reversal of 2357426136 is 6316247532.

2357426136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2357426094 and 2357426103.

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, 63261 + ... + 93363.

It is an arithmetic number, because the mean of its divisors is an integer number (99568980).

Almost surely, 22357426136 is an apocalyptic number.

2357426136 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 2357426136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186207360).

2357426136 is an abundant number, since it is smaller than the sum of its proper divisors (4014988584).

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

2357426136 is a wasteful number, since it uses less digits than its factorization.

2357426136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30376 (or 30372 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 2357426136 is about 48553.3329031077. The cubic root of 2357426136 is about 1330.9018580301.

The spelling of 2357426136 in words is "two billion, three hundred fifty-seven million, four hundred twenty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 251 312 502 753 1004 1506 2008 3012 3263 6024 6526 9789 13052 19578 26104 30103 39156 60206 78312 90309 120412 180618 240824 361236 391339 722472 782678 1174017 1565356 2348034 3130712 4696068 7555853 9392136 15111706 22667559 30223412 45335118 60446824 90670236 98226089 181340472 196452178 294678267 392904356 589356534 785808712 1178713068 2357426136