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34864700 = 22521322063
BaseRepresentation
bin1000010011111…
…1111000111100
32102121022101012
42010333320330
532411132300
63243134352
7602226233
oct204777074
972538335
1034864700
1118753402
12b8143b8
1372b9300
1448b7b1a
1530da435
hex213fe3c

34864700 has 54 divisors (see below), whose sum is σ = 81963504. Its totient is φ = 12866880.

The previous prime is 34864679. The next prime is 34864717. The reversal of 34864700 is 746843.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15869 + ... + 17931.

Almost surely, 234864700 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 34864700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40981752).

34864700 is an abundant number, since it is smaller than the sum of its proper divisors (47098804).

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

34864700 is a wasteful number, since it uses less digits than its factorization.

34864700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 34864700 is about 5904.6337735714. The cubic root of 34864700 is about 326.6845864574.

The spelling of 34864700 in words is "thirty-four million, eight hundred sixty-four thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 2063 3380 4126 4225 8252 8450 10315 16900 20630 26819 41260 51575 53638 103150 107276 134095 206300 268190 348647 536380 670475 697294 1340950 1394588 1743235 2681900 3486470 6972940 8716175 17432350 34864700