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34013532 = 22371723819
BaseRepresentation
bin1000000111000…
…0000101011100
32101000001210110
42001300011130
532201413112
63213010020
7562052550
oct201600534
971001713
1034013532
1118221963
12b483910
13707ba67
144735860
152ebd13c
hex207015c

34013532 has 48 divisors (see below), whose sum is σ = 96042240. Its totient is φ = 9146112.

The previous prime is 34013519. The next prime is 34013537. The reversal of 34013532 is 23531043.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 34013499 and 34013508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34013537) 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, 10482 + ... + 13337.

It is an arithmetic number, because the mean of its divisors is an integer number (2000880).

Almost surely, 234013532 is an apocalyptic number.

It is an amenable number.

34013532 is an abundant number, since it is smaller than the sum of its proper divisors (62028708).

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

34013532 is a wasteful number, since it uses less digits than its factorization.

34013532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23850 (or 23848 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 34013532 is about 5832.1121388396. The cubic root of 34013532 is about 324.0041532770.

Adding to 34013532 its reverse (23531043), we get a palindrome (57544575).

The spelling of 34013532 in words is "thirty-four million, thirteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 23819 47638 71457 95276 142914 166733 285828 333466 404923 500199 666932 809846 1000398 1214769 1619692 2000796 2429538 2834461 4859076 5668922 8503383 11337844 17006766 34013532