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34630580 = 22514911621
BaseRepresentation
bin1000010000011…
…0101110110100
32102011102020002
42010012232310
532331134310
63234130432
7600232535
oct204065664
972142202
1034630580
1118603516
12b720a18
13723688a
14485668c
153090da5
hex2106bb4

34630580 has 24 divisors (see below), whose sum is σ = 73218600. Its totient is φ = 13758080.

The previous prime is 34630573. The next prime is 34630619. The reversal of 34630580 is 8503643.

It can be written as a sum of positive squares in 4 ways, for example, as 781456 + 33849124 = 884^2 + 5818^2 .

It is a super-3 number, since 3×346305803 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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, 2831 + ... + 8790.

It is an arithmetic number, because the mean of its divisors is an integer number (3050775).

Almost surely, 234630580 is an apocalyptic number.

It is an amenable number.

34630580 is an abundant number, since it is smaller than the sum of its proper divisors (38588020).

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

34630580 is a wasteful number, since it uses less digits than its factorization.

34630580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11779 (or 11777 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 34630580 is about 5884.7752718349. The cubic root of 34630580 is about 325.9517034855.

The spelling of 34630580 in words is "thirty-four million, six hundred thirty thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 11621 23242 46484 58105 116210 232420 1731529 3463058 6926116 8657645 17315290 34630580