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34376672 = 2511611601
BaseRepresentation
bin1000001100100…
…0101111100000
32101200111221002
42003020233200
532300023142
63224451132
7565124351
oct203105740
971614832
1034376672
111844a780
12b619aa8
137178135
1447cbd28
153040a32
hex20c8be0

34376672 has 48 divisors (see below), whose sum is σ = 75088944. Its totient is φ = 15360000.

The previous prime is 34376659. The next prime is 34376677. The reversal of 34376672 is 27667343.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34376677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20672 + ... + 22272.

It is an arithmetic number, because the mean of its divisors is an integer number (1564353).

Almost surely, 234376672 is an apocalyptic number.

34376672 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 34376672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37544472).

34376672 is an abundant number, since it is smaller than the sum of its proper divisors (40712272).

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

34376672 is a wasteful number, since it uses less digits than its factorization.

34376672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1675 counting only the distinct ones).

The product of its digits is 127008, while the sum is 38.

The square root of 34376672 is about 5863.1622866845. The cubic root of 34376672 is about 325.1531333580.

The spelling of 34376672 in words is "thirty-four million, three hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 488 671 976 1342 1601 1952 2684 3202 5368 6404 10736 12808 17611 21472 25616 35222 51232 70444 97661 140888 195322 281776 390644 563552 781288 1074271 1562576 2148542 3125152 4297084 8594168 17188336 34376672