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34257636 = 22327672029
BaseRepresentation
bin1000001010101…
…1101011100100
32101110110122100
42002223223210
532232221021
63222132100
7564120330
oct202535344
971413570
1034257636
11183792a6
12b581030
137135bba
14479a7c0
15301a626
hex20abae4

34257636 has 72 divisors (see below), whose sum is σ = 100493120. Its totient is φ = 9637056.

The previous prime is 34257631. The next prime is 34257637. The reversal of 34257636 is 63675243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34257636.

It is not an unprimeable number, because it can be changed into a prime (34257631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15870 + ... + 17898.

Almost surely, 234257636 is an apocalyptic number.

34257636 is a gapful number since it is divisible by the number (36) 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 34257636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50246560).

34257636 is an abundant number, since it is smaller than the sum of its proper divisors (66235484).

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

34257636 is a wasteful number, since it uses less digits than its factorization.

34257636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2108 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 34257636 is about 5853.0023065090. The cubic root of 34257636 is about 324.7773970738. Note that the first 3 decimals are identical.

The spelling of 34257636 in words is "thirty-four million, two hundred fifty-seven thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 469 603 804 938 1206 1407 1876 2029 2412 2814 4058 4221 5628 6087 8116 8442 12174 14203 16884 18261 24348 28406 36522 42609 56812 73044 85218 127827 135943 170436 255654 271886 407829 511308 543772 815658 951601 1223487 1631316 1903202 2446974 2854803 3806404 4893948 5709606 8564409 11419212 17128818 34257636