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344340767004 = 223135234220483
BaseRepresentation
bin1010000001011000100…
…11110010000100011100
31012220210200220101010220
411000230103302010130
521120202214021004
6422104333401340
733610041140463
oct5005423620434
91186720811126
10344340767004
11123041427893
125689b039250
13266182a5350
14129480099da
158e552cddd9
hex502c4f211c

344340767004 has 48 divisors (see below), whose sum is σ = 866921177472. Its totient is φ = 105748396992.

The previous prime is 344340767003. The next prime is 344340767047. The reversal of 344340767004 is 400767043443.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344340767003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2028654 + ... + 2191829.

It is an arithmetic number, because the mean of its divisors is an integer number (18060857864).

Almost surely, 2344340767004 is an apocalyptic number.

It is an amenable number.

344340767004 is an abundant number, since it is smaller than the sum of its proper divisors (522580410468).

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

344340767004 is a wasteful number, since it uses less digits than its factorization.

344340767004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221026 (or 4221024 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 42.

The spelling of 344340767004 in words is "three hundred forty-four billion, three hundred forty million, seven hundred sixty-seven thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 523 1046 1569 2092 3138 6276 6799 13598 20397 27196 40794 81588 4220483 8440966 12661449 16881932 25322898 50645796 54866279 109732558 164598837 219465116 329197674 658395348 2207312609 4414625218 6621937827 8829250436 13243875654 26487751308 28695063917 57390127834 86085191751 114780255668 172170383502 344340767004