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2345437406 = 213198357203
BaseRepresentation
bin1000101111001100…
…1000100011011110
320001110100120021002
42023303020203132
514300412444111
61024422510302
7112056613634
oct21363104336
96043316232
102345437406
11aa3a35924
12555595392
132b4bc38b0
141836d9354
15dad9963b
hex8bcc88de

2345437406 has 32 divisors (see below), whose sum is σ = 4036314240. Its totient is φ = 1013161824.

The previous prime is 2345437403. The next prime is 2345437417. The reversal of 2345437406 is 6047345432.

2345437406 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 (38).

It is a self number, because there is not a number n which added to its sum of digits gives 2345437406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345437403) 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, 12401 + ... + 69603.

It is an arithmetic number, because the mean of its divisors is an integer number (126134820).

Almost surely, 22345437406 is an apocalyptic number.

2345437406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2345437406 is a deficient number, since it is larger than the sum of its proper divisors (1690876834).

2345437406 is a wasteful number, since it uses less digits than its factorization.

2345437406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57320.

The product of its (nonzero) digits is 241920, while the sum is 38.

The square root of 2345437406 is about 48429.7161461845. The cubic root of 2345437406 is about 1328.6419148185.

The spelling of 2345437406 in words is "two billion, three hundred forty-five million, four hundred thirty-seven thousand, four hundred six".

Divisors: 1 2 13 19 26 38 83 166 247 494 1079 1577 2158 3154 20501 41002 57203 114406 743639 1086857 1487278 2173714 4747849 9495698 14129141 28258282 61722037 90209131 123444074 180418262 1172718703 2345437406