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34879900 = 22521137857
BaseRepresentation
bin1000010100001…
…1100110011100
32102122002020011
42011003212130
532412124100
63243333004
7602321446
oct205034634
972562204
1034879900
1118763870
12b821164
1372c31c3
1448bd496
1530debba
hex214399c

34879900 has 72 divisors (see below), whose sum is σ = 84900816. Its totient is φ = 12326400.

The previous prime is 34879879. The next prime is 34879907. The reversal of 34879900 is 997843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34879907) 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 23 ways as a sum of consecutive naturals, for example, 40272 + ... + 41128.

It is an arithmetic number, because the mean of its divisors is an integer number (1179178).

Almost surely, 234879900 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 34879900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42450408).

34879900 is an abundant number, since it is smaller than the sum of its proper divisors (50020916).

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

34879900 is a wasteful number, since it uses less digits than its factorization.

34879900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 34879900 is about 5905.9207580190. The cubic root of 34879900 is about 326.7320545676.

The spelling of 34879900 in words is "thirty-four million, eight hundred seventy-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 370 407 550 740 814 857 925 1100 1628 1714 1850 2035 3428 3700 4070 4285 8140 8570 9427 10175 17140 18854 20350 21425 31709 37708 40700 42850 47135 63418 85700 94270 126836 158545 188540 235675 317090 348799 471350 634180 697598 792725 942700 1395196 1585450 1743995 3170900 3487990 6975980 8719975 17439950 34879900