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34137472 = 271671597
BaseRepresentation
bin1000001000111…
…0010110000000
32101020100210211
42002032112000
532214344342
63215403504
7563110105
oct202162600
971210724
1034137472
11182a6a96
12b523594
1370c32b5
144768aac
152ee4c17
hex208e580

34137472 has 32 divisors (see below), whose sum is σ = 68458320. Its totient is φ = 16955904.

The previous prime is 34137469. The next prime is 34137503. The reversal of 34137472 is 27473143.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20578 + ... + 22174.

Almost surely, 234137472 is an apocalyptic number.

34137472 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 34137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34229160).

34137472 is an abundant number, since it is smaller than the sum of its proper divisors (34320848).

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

34137472 is a wasteful number, since it uses less digits than its factorization.

34137472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1766 counting only the distinct ones).

The product of its digits is 14112, while the sum is 31.

The square root of 34137472 is about 5842.7281299064. The cubic root of 34137472 is about 324.3972164250.

The spelling of 34137472 in words is "thirty-four million, one hundred thirty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 167 334 668 1336 1597 2672 3194 5344 6388 10688 12776 21376 25552 51104 102208 204416 266699 533398 1066796 2133592 4267184 8534368 17068736 34137472