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34425400614 = 23113193717957
BaseRepresentation
bin100000000011111010…
…011110110100100110
310021212011110112202120
4200003322132310212
51031000400304424
623451555450410
72326044035313
oct400372366446
9107764415676
1034425400614
1113666272010
126808bb6a06
13332817c747
141948095d0a
15d673cda79
hex803e9ed26

34425400614 has 64 divisors (see below), whose sum is σ = 77619935232. Its totient is φ = 10084089600.

The previous prime is 34425400577. The next prime is 34425400661. The reversal of 34425400614 is 41600452443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1908124 + ... + 1926080.

It is an arithmetic number, because the mean of its divisors is an integer number (1212811488).

Almost surely, 234425400614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34425400614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38809967616).

34425400614 is an abundant number, since it is smaller than the sum of its proper divisors (43194534618).

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

34425400614 is a wasteful number, since it uses less digits than its factorization.

34425400614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18941.

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 34425400614 in words is "thirty-four billion, four hundred twenty-five million, four hundred thousand, six hundred fourteen".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 937 1023 1874 2046 2811 5622 10307 17957 20614 29047 30921 35914 53871 58094 61842 87141 107742 174282 197527 319517 395054 556667 592581 639034 958551 1113334 1185162 1670001 1917102 3340002 6123337 12246674 16825709 18370011 33651418 36740022 50477127 100954254 185082799 370165598 521596979 555248397 1043193958 1110496794 1564790937 3129581874 5737566769 11475133538 17212700307 34425400614