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34269312 = 2737111961
BaseRepresentation
bin1000001010111…
…0100010000000
32101111001122210
42002232202000
532233104222
63222302120
7564166350
oct202564200
971431583
1034269312
1118387050
12b587940
13713b2cc
1447a0b60
15301dd0c
hex20ae880

34269312 has 256 divisors, whose sum is σ = 121420800. Its totient is φ = 8294400.

The previous prime is 34269311. The next prime is 34269341. The reversal of 34269312 is 21396243.

It is a self number, because there is not a number n which added to its sum of digits gives 34269312.

It is not an unprimeable number, because it can be changed into a prime (34269311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561762 + ... + 561822.

It is an arithmetic number, because the mean of its divisors is an integer number (474300).

Almost surely, 234269312 is an apocalyptic number.

34269312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34269312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60710400).

34269312 is an abundant number, since it is smaller than the sum of its proper divisors (87151488).

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

34269312 is a wasteful number, since it uses less digits than its factorization.

34269312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 103 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 34269312 is about 5853.9996583533. Note that the first 3 decimals coincide. The cubic root of 34269312 is about 324.8142907477.

The spelling of 34269312 in words is "thirty-four million, two hundred sixty-nine thousand, three hundred twelve".