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34260828 = 22373159223
BaseRepresentation
bin1000001010110…
…0011101011100
32101110122000120
42002230131130
532232321303
63222154540
7564132540
oct202543534
971418016
1034260828
1118380738
12b582a50
1371374a4
14479ba20
15301b553
hex20ac75c

34260828 has 96 divisors (see below), whose sum is σ = 96337920. Its totient is φ = 9270720.

The previous prime is 34260767. The next prime is 34260847. The reversal of 34260828 is 82806243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153525 + ... + 153747.

It is an arithmetic number, because the mean of its divisors is an integer number (1003520).

Almost surely, 234260828 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 34260828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48168960).

34260828 is an abundant number, since it is smaller than the sum of its proper divisors (62077092).

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

34260828 is a wasteful number, since it uses less digits than its factorization.

34260828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 34260828 is about 5853.2749807266. The cubic root of 34260828 is about 324.7874839467.

The spelling of 34260828 in words is "thirty-four million, two hundred sixty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 59 62 84 93 118 124 177 186 217 223 236 354 372 413 434 446 651 669 708 826 868 892 1239 1302 1338 1561 1652 1829 2478 2604 2676 3122 3658 4683 4956 5487 6244 6913 7316 9366 10974 12803 13157 13826 18732 20739 21948 25606 26314 27652 38409 39471 41478 48391 51212 52628 76818 78942 82956 92099 96782 145173 153636 157884 184198 193564 276297 290346 368396 407867 552594 580692 815734 1105188 1223601 1631468 2447202 2855069 4894404 5710138 8565207 11420276 17130414 34260828