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378402960 = 243513121283
BaseRepresentation
bin10110100011011…
…111100010010000
3222101000212021110
4112203133202100
51233332343320
6101314253320
712243241425
oct2643374220
9871025243
10378402960
11184664821
12a6887240
136051c2a0
1438381d4c
15233495e0
hex168df890

378402960 has 80 divisors (see below), whose sum is σ = 1263294144. Its totient is φ = 93144576.

The previous prime is 378402911. The next prime is 378402971. The reversal of 378402960 is 69204873.

378402960 is digitally balanced in base 3, because in such base 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 (80).

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

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, 57522 + ... + 63761.

Almost surely, 2378402960 is an apocalyptic number.

378402960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378402960 is an abundant number, since it is smaller than the sum of its proper divisors (884891184).

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

378402960 is a wasteful number, since it uses less digits than its factorization.

378402960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121312 (or 121306 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 378402960 is about 19452.5823478529. The cubic root of 378402960 is about 723.2995168251.

The spelling of 378402960 in words is "three hundred seventy-eight million, four hundred two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 121283 242566 363849 485132 606415 727698 970264 1212830 1455396 1576679 1819245 1940528 2425660 2910792 3153358 3638490 4730037 4851320 5821584 6306716 7276980 7883395 9460074 9702640 12613432 14553960 15766790 18920148 23650185 25226864 29107920 31533580 37840296 47300370 63067160 75680592 94600740 126134320 189201480 378402960