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34222442624 = 272311624471
BaseRepresentation
bin11111110111110100…
…010000100010000000
310021100000120012201222
4133313310100202000
51030041421130444
623415505414212
72321030651126
oct376764204200
9107300505658
1034222442624
1113571749737
12677103a368
1332c50cac66
141929143916
15d5468ceee
hex7f7d10880

34222442624 has 32 divisors (see below), whose sum is σ = 71141768640. Its totient is φ = 16367253760.

The previous prime is 34222442623. The next prime is 34222442633. The reversal of 34222442624 is 42624422243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (34222442623) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5809292 + ... + 5815179.

It is an arithmetic number, because the mean of its divisors is an integer number (2223180270).

Almost surely, 234222442624 is an apocalyptic number.

It is an amenable number.

34222442624 is an abundant number, since it is smaller than the sum of its proper divisors (36919326016).

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

34222442624 is a wasteful number, since it uses less digits than its factorization.

34222442624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11624508 (or 11624496 counting only the distinct ones).

The product of its digits is 147456, while the sum is 35.

Adding to 34222442624 its reverse (42624422243), we get a palindrome (76846864867).

The spelling of 34222442624 in words is "thirty-four billion, two hundred twenty-two million, four hundred forty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 11624471 23248942 46497884 92995768 185991536 267362833 371983072 534725666 743966144 1069451332 1487932288 2138902664 4277805328 8555610656 17111221312 34222442624