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344091901938 = 231719461385141
BaseRepresentation
bin1010000000111010111…
…10011011111111110010
31012220011100121201110020
411000131132123333302
521114200011330223
6422023523344310
733600626623401
oct5003536337762
91186140551406
10344091901938
11122a239a9884
125682b822096
13265a886c405
1412922d47638
158e3d5211e3
hex501d79bff2

344091901938 has 64 divisors (see below), whose sum is σ = 768681809280. Its totient is φ = 102046694400.

The previous prime is 344091901889. The next prime is 344091901939. The reversal of 344091901938 is 839109190443.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (344091901939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 700848 + ... + 1085988.

It is an arithmetic number, because the mean of its divisors is an integer number (12010653270).

Almost surely, 2344091901938 is an apocalyptic number.

344091901938 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

344091901938 is an abundant number, since it is smaller than the sum of its proper divisors (424589907342).

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

344091901938 is a wasteful number, since it uses less digits than its factorization.

344091901938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385643.

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 344091901938 in words is "three hundred forty-four billion, ninety-one million, nine hundred one thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 17 19 34 38 51 57 102 114 323 461 646 922 969 1383 1938 2766 7837 8759 15674 17518 23511 26277 47022 52554 148903 297806 385141 446709 770282 893418 1155423 2310846 6547397 7317679 13094794 14635358 19642191 21953037 39284382 43906074 124400543 177550001 248801086 355100002 373201629 532650003 746403258 1065300006 3018350017 3373450019 6036700034 6746900038 9055050051 10120350057 18110100102 20240700114 57348650323 114697300646 172045950969 344091901938