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344857354074 = 232109717464669
BaseRepresentation
bin1010000010010110001…
…10011001111101011010
31012222010200221201101100
411001023012121331122
521122231440312244
6422231505532230
733625613100312
oct5011306317532
91188120851340
10344857354074
11123286a93352
1256a04044076
132669b31727c
141299687c442
158e85821b69
hex504b199f5a

344857354074 has 24 divisors (see below), whose sum is σ = 747872098740. Its totient is φ = 114847656768.

The previous prime is 344857354021. The next prime is 344857354097. The reversal of 344857354074 is 470453758443.

344857354074 is a `hidden beast` number, since 3 + 4 + 48 + 57 + 3 + 540 + 7 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 342860604849 + 1996749225 = 585543^2 + 44685^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 344857354074.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8712589 + ... + 8752080.

Almost surely, 2344857354074 is an apocalyptic number.

344857354074 is an abundant number, since it is smaller than the sum of its proper divisors (403014744666).

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

344857354074 is a wasteful number, since it uses less digits than its factorization.

344857354074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17465774 (or 17465771 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 54.

The spelling of 344857354074 in words is "three hundred forty-four billion, eight hundred fifty-seven million, three hundred fifty-four thousand, seventy-four".

Divisors: 1 2 3 6 9 18 1097 2194 3291 6582 9873 19746 17464669 34929338 52394007 104788014 157182021 314364042 19158741893 38317483786 57476225679 114952451358 172428677037 344857354074