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34714020 = 223511149353
BaseRepresentation
bin1000010001101…
…1000110100100
32102022122200110
42010123012210
532341322040
63240013020
7601031025
oct204330644
972278613
1034714020
1118660180
12b761170
137265853
144878c4c
1530aa980
hex211b1a4

34714020 has 96 divisors (see below), whose sum is σ = 107049600. Its totient is φ = 8335360.

The previous prime is 34713997. The next prime is 34714021. The reversal of 34714020 is 2041743.

It is not an unprimeable number, because it can be changed into a prime (34714021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98164 + ... + 98516.

It is an arithmetic number, because the mean of its divisors is an integer number (1115100).

Almost surely, 234714020 is an apocalyptic number.

34714020 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 34714020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53524800).

34714020 is an abundant number, since it is smaller than the sum of its proper divisors (72335580).

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

34714020 is a wasteful number, since it uses less digits than its factorization.

34714020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 34714020 is about 5891.8604871467. The cubic root of 34714020 is about 326.2132795829.

Adding to 34714020 its reverse (2041743), we get a palindrome (36755763).

The spelling of 34714020 in words is "thirty-four million, seven hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 149 165 220 298 330 353 447 596 660 706 745 894 1059 1412 1490 1639 1765 1788 2118 2235 2980 3278 3530 3883 4236 4470 4917 5295 6556 7060 7766 8195 8940 9834 10590 11649 15532 16390 19415 19668 21180 23298 24585 32780 38830 46596 49170 52597 58245 77660 98340 105194 116490 157791 210388 232980 262985 315582 525970 578567 631164 788955 1051940 1157134 1577910 1735701 2314268 2892835 3155820 3471402 5785670 6942804 8678505 11571340 17357010 34714020