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34540680 = 2335733943
BaseRepresentation
bin1000001111000…
…0110010001000
32101222211220110
42003300302020
532320300210
63232154320
7566406456
oct203606210
971884813
1034540680
1118551a19
12b6989a0
137204995
1448319d6
153074420
hex20f0c88

34540680 has 64 divisors (see below), whose sum is σ = 105068160. Its totient is φ = 9082368.

The previous prime is 34540679. The next prime is 34540691. The reversal of 34540680 is 8604543.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6789 + ... + 10731.

It is an arithmetic number, because the mean of its divisors is an integer number (1641690).

Almost surely, 234540680 is an apocalyptic number.

34540680 is a gapful number since it is divisible by the number (30) 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 34540680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52534080).

34540680 is an abundant number, since it is smaller than the sum of its proper divisors (70527480).

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

34540680 is a wasteful number, since it uses less digits than its factorization.

34540680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 34540680 is about 5877.1319535978. The cubic root of 34540680 is about 325.6694052834.

The spelling of 34540680 in words is "thirty-four million, five hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 3943 4380 7886 8760 11829 15772 19715 23658 31544 39430 47316 59145 78860 94632 118290 157720 236580 287839 473160 575678 863517 1151356 1439195 1727034 2302712 2878390 3454068 4317585 5756780 6908136 8635170 11513560 17270340 34540680