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34415052 = 22372107547
BaseRepresentation
bin1000001101001…
…0000111001100
32101202110120120
42003102013030
532302240202
63225344540
7565344300
oct203220714
971673516
1034415052
11184765a1
12b638150
13718c749
1447dbd00
15304c0bc
hex20d21cc

34415052 has 72 divisors (see below), whose sum is σ = 94457664. Its totient is φ = 9723168.

The previous prime is 34415027. The next prime is 34415071. The reversal of 34415052 is 25051443.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62643 + ... + 63189.

It is an arithmetic number, because the mean of its divisors is an integer number (1311912).

Almost surely, 234415052 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 34415052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47228832).

34415052 is an abundant number, since it is smaller than the sum of its proper divisors (60042612).

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

34415052 is a wasteful number, since it uses less digits than its factorization.

34415052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 34415052 is about 5866.4343514609. The cubic root of 34415052 is about 325.2740946106.

Adding to 34415052 its reverse (25051443), we get a palindrome (59466495).

The spelling of 34415052 in words is "thirty-four million, four hundred fifteen thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 107 147 196 214 294 321 428 547 588 642 749 1094 1284 1498 1641 2188 2247 2996 3282 3829 4494 5243 6564 7658 8988 10486 11487 15316 15729 20972 22974 26803 31458 45948 53606 58529 62916 80409 107212 117058 160818 175587 234116 321636 351174 409703 702348 819406 1229109 1638812 2458218 2867921 4916436 5735842 8603763 11471684 17207526 34415052