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3420235080 = 2332570113553
BaseRepresentation
bin1100101111011100…
…1010010101001000
322211100202221111100
43023313022111020
524001040010310
61323215301400
7150520342563
oct31367122510
98740687440
103420235080
1114a56a7269
127b551a860
1342678c252
142463574da
15150402ec0
hexcbdca548

3420235080 has 96 divisors (see below), whose sum is σ = 11132442360. Its totient is φ = 910694400.

The previous prime is 3420235043. The next prime is 3420235111. The reversal of 3420235080 is 805320243.

3420235080 is a `hidden beast` number, since 3 + 420 + 235 + 0 + 8 + 0 = 666.

3420235080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3378166884 + 42068196 = 58122^2 + 6486^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245584 + ... + 259136.

Almost surely, 23420235080 is an apocalyptic number.

3420235080 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 3420235080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566221180).

3420235080 is an abundant number, since it is smaller than the sum of its proper divisors (7712207280).

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

3420235080 is a wasteful number, since it uses less digits than its factorization.

3420235080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14271 (or 14264 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3420235080 is about 58482.7759259083. The cubic root of 3420235080 is about 1506.6717742885.

The spelling of 3420235080 in words is "three billion, four hundred twenty million, two hundred thirty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 701 1402 2103 2804 3505 4206 5608 6309 7010 8412 10515 12618 13553 14020 16824 21030 25236 27106 28040 31545 40659 42060 50472 54212 63090 67765 81318 84120 108424 121977 126180 135530 162636 203295 243954 252360 271060 325272 406590 487908 542120 609885 813180 975816 1219770 1626360 2439540 4879080 9500653 19001306 28501959 38002612 47503265 57003918 76005224 85505877 95006530 114007836 142509795 171011754 190013060 228015672 285019590 342023508 380026120 427529385 570039180 684047016 855058770 1140078360 1710117540 3420235080