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2378045280 = 253513381097
BaseRepresentation
bin1000110110111110…
…0001011101100000
320010201201012212010
42031233201131200
514332234422110
61031545432520
7112634023422
oct21557413540
96121635763
102378045280
111010387686
1256449b740
132bb89c8b0
14187b86812
15ddb8b020
hex8dbe1760

2378045280 has 96 divisors (see below), whose sum is σ = 8067082464. Its totient is φ = 585363456.

The previous prime is 2378045249. The next prime is 2378045291. The reversal of 2378045280 is 825408732.

2378045280 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 is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 184309 + ... + 196788.

It is an arithmetic number, because the mean of its divisors is an integer number (84032109).

Almost surely, 22378045280 is an apocalyptic number.

2378045280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2378045280 is an abundant number, since it is smaller than the sum of its proper divisors (5689037184).

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

2378045280 is a wasteful number, since it uses less digits than its factorization.

2378045280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381128 (or 381120 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 2378045280 is about 48765.2056286037. The cubic root of 2378045280 is about 1334.7708285376.

The spelling of 2378045280 in words is "two billion, three hundred seventy-eight million, forty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 381097 762194 1143291 1524388 1905485 2286582 3048776 3810970 4573164 4954261 5716455 6097552 7621940 9146328 9908522 11432910 12195104 14862783 15243880 18292656 19817044 22865820 24771305 29725566 30487760 36585312 39634088 45731640 49542610 59451132 60975520 74313915 79268176 91463280 99085220 118902264 148627830 158536352 182926560 198170440 237804528 297255660 396340880 475609056 594511320 792681760 1189022640 2378045280