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345217141752 = 23372054863939
BaseRepresentation
bin1010000011000001000…
…10111000101111111000
31020000001202221211021220
411001200202320233320
521124001042014002
6422331321232040
733640542201060
oct5014042705770
91200052854256
10345217141752
1112345109313a
1256aa4632620
1326727a194a2
14129cc5763a0
158ea71e07bc
hex50608b8bf8

345217141752 has 32 divisors (see below), whose sum is σ = 986334691200. Its totient is φ = 98633469024.

The previous prime is 345217141741. The next prime is 345217141757. The reversal of 345217141752 is 257141712543.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345217141757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1027431802 + ... + 1027432137.

It is an arithmetic number, because the mean of its divisors is an integer number (30822959100).

Almost surely, 2345217141752 is an apocalyptic number.

It is an amenable number.

345217141752 is an abundant number, since it is smaller than the sum of its proper divisors (641117549448).

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

345217141752 is a wasteful number, since it uses less digits than its factorization.

345217141752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054863955 (or 2054863951 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The spelling of 345217141752 in words is "three hundred forty-five billion, two hundred seventeen million, one hundred forty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2054863939 4109727878 6164591817 8219455756 12329183634 14384047573 16438911512 24658367268 28768095146 43152142719 49316734536 57536190292 86304285438 115072380584 172608570876 345217141752