Search a number
-
+
34512870 = 23571491103
BaseRepresentation
bin1000001110100…
…1111111100110
32101221102202110
42003221333212
532313402440
63231421450
7566232420
oct203517746
971842673
1034512870
1118533037
12b684886
1371c5122
144825810
15306b080
hex20e9fe6

34512870 has 64 divisors (see below), whose sum is σ = 95385600. Its totient is φ = 7828608.

The previous prime is 34512851. The next prime is 34512893. The reversal of 34512870 is 7821543.

It is a super-2 number, since 2×345128702 = 2382276391273800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 30739 + ... + 31841.

It is an arithmetic number, because the mean of its divisors is an integer number (1490400).

Almost surely, 234512870 is an apocalyptic number.

34512870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34512870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47692800).

34512870 is an abundant number, since it is smaller than the sum of its proper divisors (60872730).

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

34512870 is a wasteful number, since it uses less digits than its factorization.

34512870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 34512870 is about 5874.7655272360. The cubic root of 34512870 is about 325.5819789220.

The spelling of 34512870 in words is "thirty-four million, five hundred twelve thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 149 210 298 447 745 894 1043 1103 1490 2086 2206 2235 3129 3309 4470 5215 5515 6258 6618 7721 10430 11030 15442 15645 16545 23163 31290 33090 38605 46326 77210 115815 164347 231630 328694 493041 821735 986082 1150429 1643470 2300858 2465205 3451287 4930410 5752145 6902574 11504290 17256435 34512870