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3420155760 = 243572035807
BaseRepresentation
bin1100101111011011…
…0110111101110000
322211100121220200120
43023312312331300
524001024441020
61323213450240
7150516562410
oct31366667560
98740556616
103420155760
1114a565270a
127b54a0980
13426762108
14246336640
151503d9740
hexcbdb6f70

3420155760 has 80 divisors (see below), whose sum is σ = 12117129216. Its totient is φ = 781749504.

The previous prime is 3420155749. The next prime is 3420155779. The reversal of 3420155760 is 675510243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×34201557602 = 23394930845322355200, which contains 22 as substring.

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, 1016224 + ... + 1019583.

Almost surely, 23420155760 is an apocalyptic number.

3420155760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3420155760 is an abundant number, since it is smaller than the sum of its proper divisors (8696973456).

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

3420155760 is a wasteful number, since it uses less digits than its factorization.

3420155760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035830 (or 2035824 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 3420155760 is about 58482.0977735922. The cubic root of 3420155760 is about 1506.6601269284.

The spelling of 3420155760 in words is "three billion, four hundred twenty million, one hundred fifty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2035807 4071614 6107421 8143228 10179035 12214842 14250649 16286456 20358070 24429684 28501298 30537105 32572912 40716140 42751947 48859368 57002596 61074210 71253245 81432280 85503894 97718736 114005192 122148420 142506490 162864560 171007788 213759735 228010384 244296840 285012980 342015576 427519470 488593680 570025960 684031152 855038940 1140051920 1710077880 3420155760