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34245900 = 223252132927
BaseRepresentation
bin1000001010100…
…0110100001100
32101102212112200
42002220310030
532231332100
63222001500
7564041163
oct202506414
971385480
1034245900
11183704a7
12b576290
137130760
1447963da
153016e00
hex20a8d0c

34245900 has 108 divisors (see below), whose sum is σ = 115638432. Its totient is φ = 8426880.

The previous prime is 34245881. The next prime is 34245929. The reversal of 34245900 is 954243.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10237 + ... + 13163.

Almost surely, 234245900 is an apocalyptic number.

34245900 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 34245900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57819216).

34245900 is an abundant number, since it is smaller than the sum of its proper divisors (81392532).

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

34245900 is a wasteful number, since it uses less digits than its factorization.

34245900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 34245900 is about 5851.9996582365. Note that the first 3 decimals coincide. The cubic root of 34245900 is about 324.7403053641.

The spelling of 34245900 in words is "thirty-four million, two hundred forty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 2927 3900 5850 5854 8781 11700 11708 14635 17562 26343 29270 35124 38051 43905 52686 58540 73175 76102 87810 105372 114153 131715 146350 152204 175620 190255 219525 228306 263430 292700 342459 380510 439050 456612 526860 570765 658575 684918 761020 878100 951275 1141530 1317150 1369836 1712295 1902550 2283060 2634300 2853825 3424590 3805100 5707650 6849180 8561475 11415300 17122950 34245900