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34227714672 = 2433617128413
BaseRepresentation
bin11111111000001000…
…010111101001110000
310021100101111001122000
4133320020113221300
51030044243332142
623420214414000
72321123526414
oct377010275160
9107311431560
1034227714672
111357471a6a8
126772961300
1332c6225808
141929b16d44
15d54d8014c
hex7f8217a70

34227714672 has 80 divisors (see below), whose sum is σ = 98406216480. Its totient is φ = 11390658048.

The previous prime is 34227714649. The next prime is 34227714739. The reversal of 34227714672 is 27641772243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202338 + ... + 330750.

It is an arithmetic number, because the mean of its divisors is an integer number (1230077706).

Almost surely, 234227714672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34227714672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49203108240).

34227714672 is an abundant number, since it is smaller than the sum of its proper divisors (64178501808).

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

34227714672 is a wasteful number, since it uses less digits than its factorization.

34227714672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129047 (or 129035 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The spelling of 34227714672 in words is "thirty-four billion, two hundred twenty-seven million, seven hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 617 1234 1851 2468 3702 4936 5553 7404 9872 11106 14808 16659 22212 29616 33318 44424 66636 88848 128413 133272 256826 266544 385239 513652 770478 1027304 1155717 1540956 2054608 2311434 3081912 3467151 4622868 6163824 6934302 9245736 13868604 18491472 27737208 55474416 79230821 158461642 237692463 316923284 475384926 633846568 713077389 950769852 1267693136 1426154778 1901539704 2139232167 2852309556 3803079408 4278464334 5704619112 8556928668 11409238224 17113857336 34227714672