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34082220 = 22352412357
BaseRepresentation
bin1000001000000…
…0110110101100
32101010120000110
42002000312230
532211112340
63214300020
7562460034
oct202006654
971116013
1034082220
1118269527
12b4b7610
1370a40c3
1447528c4
152ed3680
hex2080dac

34082220 has 48 divisors (see below), whose sum is σ = 95866848. Its totient is φ = 9047040.

The previous prime is 34082183. The next prime is 34082227. The reversal of 34082220 is 2228043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34082227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13282 + ... + 15638.

It is an arithmetic number, because the mean of its divisors is an integer number (1997226).

Almost surely, 234082220 is an apocalyptic number.

34082220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34082220 is an abundant number, since it is smaller than the sum of its proper divisors (61784628).

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

34082220 is a wasteful number, since it uses less digits than its factorization.

34082220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 34082220 is about 5837.9979445012. The cubic root of 34082220 is about 324.2221080322. Note that the first 3 decimals are identical.

The spelling of 34082220 in words is "thirty-four million, eighty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 241 482 723 964 1205 1446 2357 2410 2892 3615 4714 4820 7071 7230 9428 11785 14142 14460 23570 28284 35355 47140 70710 141420 568037 1136074 1704111 2272148 2840185 3408222 5680370 6816444 8520555 11360740 17041110 34082220