Search a number
-
+
34661820 = 22351992903
BaseRepresentation
bin1000010000111…
…0010110111100
32102020000002010
42010032112330
532333134240
63234531220
7600422604
oct204162674
972200063
1034661820
1118624a36
12b736b10
137247b6b
144863c04
15309a280
hex210e5bc

34661820 has 48 divisors (see below), whose sum is σ = 97574400. Its totient is φ = 9193536.

The previous prime is 34661807. The next prime is 34661831. The reversal of 34661820 is 2816643.

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 15 ways as a sum of consecutive naturals, for example, 10489 + ... + 13391.

It is an arithmetic number, because the mean of its divisors is an integer number (2032800).

Almost surely, 234661820 is an apocalyptic number.

34661820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34661820 is an abundant number, since it is smaller than the sum of its proper divisors (62912580).

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

34661820 is a wasteful number, since it uses less digits than its factorization.

34661820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 34661820 is about 5887.4289804634. The cubic root of 34661820 is about 326.0496869328.

The spelling of 34661820 in words is "thirty-four million, six hundred sixty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 199 398 597 796 995 1194 1990 2388 2903 2985 3980 5806 5970 8709 11612 11940 14515 17418 29030 34836 43545 58060 87090 174180 577697 1155394 1733091 2310788 2888485 3466182 5776970 6932364 8665455 11553940 17330910 34661820