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34546980 = 22351323407
BaseRepresentation
bin1000001111001…
…0010100100100
32102000011112210
42003302110210
532321000410
63232243420
7566434026
oct203622444
972004483
1034546980
1118556726
12b6a0570
137207800
144834016
153076220
hex20f2524

34546980 has 72 divisors (see below), whose sum is σ = 104775552. Its totient is φ = 8501376.

The previous prime is 34546961. The next prime is 34547039. The reversal of 34546980 is 8964543.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8437 + ... + 11843.

It is an arithmetic number, because the mean of its divisors is an integer number (1455216).

Almost surely, 234546980 is an apocalyptic number.

34546980 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 34546980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52387776).

34546980 is an abundant number, since it is smaller than the sum of its proper divisors (70228572).

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

34546980 is a wasteful number, since it uses less digits than its factorization.

34546980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 34546980 is about 5877.6679048752. The cubic root of 34546980 is about 325.6892040881.

The spelling of 34546980 in words is "thirty-four million, five hundred forty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 3407 5070 6814 10140 10221 13628 17035 20442 34070 40884 44291 51105 68140 88582 102210 132873 177164 204420 221455 265746 442910 531492 575783 664365 885820 1151566 1328730 1727349 2303132 2657460 2878915 3454698 5757830 6909396 8636745 11515660 17273490 34546980