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344453497164 = 223374753317577
BaseRepresentation
bin1010000001100110000…
…01110100000101001100
31012221002120000122212000
411000303001310011030
521120420043402124
6422123441512300
733612610263030
oct5006301640514
91187076018760
10344453497164
1112309a023707
1256910942690
132663575529a
1412958d921c0
158e6014a6c9
hex503307414c

344453497164 has 384 divisors, whose sum is σ = 1067180728320. Its totient is φ = 94042570752.

The previous prime is 344453497159. The next prime is 344453497177. The reversal of 344453497164 is 461794354443.

344453497164 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 534 + 97 + 16 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 344453497164.

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, 596972844 + ... + 596973420.

It is an arithmetic number, because the mean of its divisors is an integer number (2779116480).

Almost surely, 2344453497164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344453497164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533590364160).

344453497164 is an abundant number, since it is smaller than the sum of its proper divisors (722727231156).

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

344453497164 is a wasteful number, since it uses less digits than its factorization.

344453497164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1006 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 344453497164 in words is "three hundred forty-four billion, four hundred fifty-three million, four hundred ninety-seven thousand, one hundred sixty-four".