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34312680 = 2333531771
BaseRepresentation
bin1000001011100…
…1000111101000
32101120021011000
42002321013220
532241001210
63223235000
7564436653
oct202710750
971507130
1034312680
1118406696
12b5a8a60
137154c7c
1447b289a
15302bac0
hex20b91e8

34312680 has 64 divisors (see below), whose sum is σ = 114379200. Its totient is φ = 9149760.

The previous prime is 34312669. The next prime is 34312687. The reversal of 34312680 is 8621343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34312687) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14806 + ... + 16965.

It is an arithmetic number, because the mean of its divisors is an integer number (1787175).

Almost surely, 234312680 is an apocalyptic number.

34312680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34312680 is an abundant number, since it is smaller than the sum of its proper divisors (80066520).

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

34312680 is a wasteful number, since it uses less digits than its factorization.

34312680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31791 (or 31781 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34312680 is about 5857.7026213354. The cubic root of 34312680 is about 324.9512510708.

It can be divided in two parts, 343126 and 80, that added together give a triangular number (343206 = T828).

The spelling of 34312680 in words is "thirty-four million, three hundred twelve thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 31771 63542 95313 127084 158855 190626 254168 285939 317710 381252 476565 571878 635420 762504 857817 953130 1143756 1270840 1429695 1715634 1906260 2287512 2859390 3431268 3812520 4289085 5718780 6862536 8578170 11437560 17156340 34312680