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34908632 = 23111732293
BaseRepresentation
bin1000010100101…
…0100111011000
32102200112122022
42011022213120
532414034012
63244114012
7602501303
oct205124730
972615568
1034908632
1118783410
12b835908
1373032c5
1448c9b3a
1530e8472
hex214a9d8

34908632 has 32 divisors (see below), whose sum is σ = 71848080. Its totient is φ = 15768960.

The previous prime is 34908631. The next prime is 34908637. The reversal of 34908632 is 23680943.

It is a happy number.

It is a super-2 number, since 2×349086322 = 2437225176222848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34908592 and 34908601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34908631) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14078 + ... + 16370.

Almost surely, 234908632 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 34908632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35924040).

34908632 is an abundant number, since it is smaller than the sum of its proper divisors (36939448).

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

34908632 is a wasteful number, since it uses less digits than its factorization.

34908632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 34908632 is about 5908.3527315149. The cubic root of 34908632 is about 326.8217441300.

The spelling of 34908632 in words is "thirty-four million, nine hundred eight thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 173 346 692 1384 1903 2293 3806 4586 7612 9172 15224 18344 25223 50446 100892 201784 396689 793378 1586756 3173512 4363579 8727158 17454316 34908632