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3480042384 = 2432713265571
BaseRepresentation
bin1100111101101101…
…0011101110010000
322222112022110200200
43033123103232100
524111342324014
61333153215200
7152144605110
oct31733235620
98875273620
103480042384
111526436395
12811561500
13435c9c5a0
14250285040
151557b8a09
hexcf6d3b90

3480042384 has 120 divisors (see below), whose sum is σ = 11986857792. Its totient is φ = 917809920.

The previous prime is 3480042373. The next prime is 3480042389. The reversal of 3480042384 is 4832400843.

It is a super-2 number, since 2×34800423842 = 24221389988872806912, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3480042389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119682 + ... + 145889.

Almost surely, 23480042384 is an apocalyptic number.

It is an amenable number.

3480042384 is an abundant number, since it is smaller than the sum of its proper divisors (8506815408).

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

3480042384 is a wasteful number, since it uses less digits than its factorization.

3480042384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265605 (or 265596 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3480042384 is about 58991.8840519609. The cubic root of 3480042384 is about 1515.4031224734.

The spelling of 3480042384 in words is "three billion, four hundred eighty million, forty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 265571 531142 796713 1062284 1593426 1858997 2124568 2390139 3186852 3452423 3717994 4249136 4780278 5576991 6373704 6904846 7435988 9560556 10357269 11153982 12747408 13809692 14871976 16730973 19121112 20714538 22307964 24166961 27619384 29743952 31071807 33461946 38242224 41429076 44615928 48333922 55238768 62143614 66923892 72500883 82858152 89231856 96667844 124287228 133847784 145001766 165716304 193335688 217502649 248574456 267695568 290003532 386671376 435005298 497148912 580007064 870010596 1160014128 1740021192 3480042384