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34252520 = 23523311201
BaseRepresentation
bin1000001010101…
…0011011101000
32101110012121212
42002222123220
532232040040
63222052252
7564066401
oct202523350
971405555
1034252520
1118375475
12b57a088
137133783
1447989a8
153018d65
hex20aa6e8

34252520 has 64 divisors (see below), whose sum is σ = 83082240. Its totient is φ = 12672000.

The previous prime is 34252511. The next prime is 34252541. The reversal of 34252520 is 2525243.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27920 + ... + 29120.

It is an arithmetic number, because the mean of its divisors is an integer number (1298160).

Almost surely, 234252520 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 34252520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41541120).

34252520 is an abundant number, since it is smaller than the sum of its proper divisors (48829720).

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

34252520 is a wasteful number, since it uses less digits than its factorization.

34252520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 34252520 is about 5852.5652495295. The cubic root of 34252520 is about 324.7612289619.

Adding to 34252520 its reverse (2525243), we get a palindrome (36777763).

The spelling of 34252520 in words is "thirty-four million, two hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 155 184 230 248 310 460 620 713 920 1201 1240 1426 2402 2852 3565 4804 5704 6005 7130 9608 12010 14260 24020 27623 28520 37231 48040 55246 74462 110492 138115 148924 186155 220984 276230 297848 372310 552460 744620 856313 1104920 1489240 1712626 3425252 4281565 6850504 8563130 17126260 34252520