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34685312 = 272331163
BaseRepresentation
bin1000010001010…
…0000110000000
32102021012022012
42010110012000
532334412222
63235232052
7600551234
oct204240600
972235265
1034685312
1118640652
12b748628
13725576c
14486c5c4
1530a21e2
hex2114180

34685312 has 32 divisors (see below), whose sum is σ = 69455880. Its totient is φ = 17253376.

The previous prime is 34685309. The next prime is 34685341. The reversal of 34685312 is 21358643.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29243 + ... + 30405.

Almost surely, 234685312 is an apocalyptic number.

34685312 is a gapful number since it is divisible by the number (32) 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 34685312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34727940).

34685312 is an abundant number, since it is smaller than the sum of its proper divisors (34770568).

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

34685312 is a wasteful number, since it uses less digits than its factorization.

34685312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1398 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 34685312 is about 5889.4237409105. The cubic root of 34685312 is about 326.1233302044.

It can be divided in two parts, 346 and 85312, that added together give a palindrome (85658).

The spelling of 34685312 in words is "thirty-four million, six hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 233 466 932 1163 1864 2326 3728 4652 7456 9304 14912 18608 29824 37216 74432 148864 270979 541958 1083916 2167832 4335664 8671328 17342656 34685312