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34642540 = 2254183509
BaseRepresentation
bin1000010000100…
…1101001101100
32102012000122001
42010021221230
532332030130
63234302044
7600312442
oct204115154
972160561
1034642540
11186114a9
12b727924
13723c15a
14485ab92
1530946ca
hex2109a6c

34642540 has 48 divisors (see below), whose sum is σ = 75569760. Its totient is φ = 13329920.

The previous prime is 34642537. The next prime is 34642541. The reversal of 34642540 is 4524643.

It is a junction number, because it is equal to n+sod(n) for n = 34642499 and 34642508.

It is not an unprimeable number, because it can be changed into a prime (34642541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67806 + ... + 68314.

It is an arithmetic number, because the mean of its divisors is an integer number (1574370).

Almost surely, 234642540 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 34642540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37784880).

34642540 is an abundant number, since it is smaller than the sum of its proper divisors (40927220).

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

34642540 is a wasteful number, since it uses less digits than its factorization.

34642540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 34642540 is about 5885.7913656534. The cubic root of 34642540 is about 325.9892226731.

The spelling of 34642540 in words is "thirty-four million, six hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 41 82 83 164 166 205 332 410 415 509 820 830 1018 1660 2036 2545 3403 5090 6806 10180 13612 17015 20869 34030 41738 42247 68060 83476 84494 104345 168988 208690 211235 417380 422470 844940 1732127 3464254 6928508 8660635 17321270 34642540