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34442644064 = 253744236577
BaseRepresentation
bin100000000100111100…
…010000101001100000
310021220100220121022212
4200010330100221200
51031014304102224
623453413221252
72326343433623
oct400474205140
9107810817285
1034442644064
1113674a7a2a4
126812931828
13332b90927a
14194a4a3dba
15d68b87d0e
hex804f10a60

34442644064 has 48 divisors (see below), whose sum is σ = 69667966368. Its totient is φ = 16749545472.

The previous prime is 34442644037. The next prime is 34442644081. The reversal of 34442644064 is 46044624443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5233544 + ... + 5240120.

It is an arithmetic number, because the mean of its divisors is an integer number (1451415966).

Almost surely, 234442644064 is an apocalyptic number.

It is an amenable number.

34442644064 is an abundant number, since it is smaller than the sum of its proper divisors (35225322304).

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

34442644064 is a wasteful number, since it uses less digits than its factorization.

34442644064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11047 (or 11039 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 41.

The spelling of 34442644064 in words is "thirty-four billion, four hundred forty-two million, six hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 4423 6577 8846 13154 17692 26308 35384 52616 70768 105232 141536 163651 210464 243349 327302 486698 654604 973396 1309208 1946792 2618416 3893584 5236832 7787168 29090071 58180142 116360284 232720568 465441136 930882272 1076332627 2152665254 4305330508 8610661016 17221322032 34442644064