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34534728 = 23331011583
BaseRepresentation
bin1000001110111…
…1010101001000
32101222112202000
42003233111020
532320102403
63232111000
7566353224
oct203572510
971875660
1034534728
11185484a8
12b695460
137202067
14482d784
1530727a3
hex20ef548

34534728 has 64 divisors (see below), whose sum is σ = 96940800. Its totient is φ = 11390400.

The previous prime is 34534711. The next prime is 34534739. The reversal of 34534728 is 82743543.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 34534692 and 34534701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21025 + ... + 22607.

It is an arithmetic number, because the mean of its divisors is an integer number (1514700).

Almost surely, 234534728 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 34534728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48470400).

34534728 is an abundant number, since it is smaller than the sum of its proper divisors (62406072).

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

34534728 is a wasteful number, since it uses less digits than its factorization.

34534728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1689 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 34534728 is about 5876.6255623444. The cubic root of 34534728 is about 325.6506979153.

The spelling of 34534728 in words is "thirty-four million, five hundred thirty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 606 808 909 1212 1583 1818 2424 2727 3166 3636 4749 5454 6332 7272 9498 10908 12664 14247 18996 21816 28494 37992 42741 56988 85482 113976 159883 170964 319766 341928 479649 639532 959298 1279064 1438947 1918596 2877894 3837192 4316841 5755788 8633682 11511576 17267364 34534728