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345022203240 = 23335111317131413
BaseRepresentation
bin1010000010101001110…
…11010000010101101000
31012222120012010220221000
411001110323100111220
521123101141000430
6422300115115000
733632654224161
oct5012473202550
91188505126830
10345022203240
11123361047a30
1256a4b2a2a60
13266c6514c60
14129b0710768
158e95035e60
hex5054ed0568

345022203240 has 512 divisors, whose sum is σ = 1430625369600. Its totient is φ = 72665579520.

The previous prime is 345022203209. The next prime is 345022203259. The reversal of 345022203240 is 42302220543.

It is a happy number.

345022203240 is a `hidden beast` number, since 3 + 450 + 2 + 2 + 203 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2559774 + ... + 2691186.

It is an arithmetic number, because the mean of its divisors is an integer number (2794190175).

Almost surely, 2345022203240 is an apocalyptic number.

345022203240 is a gapful number since it is divisible by the number (30) 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 345022203240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715312684800).

345022203240 is an abundant number, since it is smaller than the sum of its proper divisors (1085603166360).

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

345022203240 is a wasteful number, since it uses less digits than its factorization.

345022203240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131474 (or 131464 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 345022203240 its reverse (42302220543), we get a palindrome (387324423783).

The spelling of 345022203240 in words is "three hundred forty-five billion, twenty-two million, two hundred three thousand, two hundred forty".