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342649620 = 2232517111977
BaseRepresentation
bin10100011011000…
…110101100010100
3212212202101220200
4110123012230110
51200204241440
654000100500
711330321325
oct2433065424
9785671820
10342649620
11166464805
1296904730
1355cb1671
143371644c
1520135c30
hex146c6b14

342649620 has 72 divisors (see below), whose sum is σ = 1100519784. Its totient is φ = 85997568.

The previous prime is 342649613. The next prime is 342649633. The reversal of 342649620 is 26946243.

342649620 is a `hidden beast` number, since 3 + 4 + 2 + 649 + 6 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 338633604 = 2004^2 + 18402^2 .

It is a super-2 number, since 2×3426496202 = 234817524172288800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52929 + ... + 59048.

It is an arithmetic number, because the mean of its divisors is an integer number (15284997).

Almost surely, 2342649620 is an apocalyptic number.

342649620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342649620 is an abundant number, since it is smaller than the sum of its proper divisors (757870164).

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

342649620 is a wasteful number, since it uses less digits than its factorization.

342649620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112009 (or 112004 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 342649620 is about 18510.7973896318. The cubic root of 342649620 is about 699.7615650517.

The spelling of 342649620 in words is "three hundred forty-two million, six hundred forty-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 111977 223954 335931 447908 559885 671862 1007793 1119770 1343724 1679655 1903609 2015586 2239540 3359310 3807218 4031172 5038965 5710827 6718620 7614436 9518045 10077930 11421654 17132481 19036090 20155860 22843308 28554135 34264962 38072180 57108270 68529924 85662405 114216540 171324810 342649620