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378079960 = 23529211239
BaseRepresentation
bin10110100010010…
…000101011011000
3222100102110012111
4112202100223120
51233242024320
6101303322104
712240424636
oct2642205330
9870373174
10378079960
11184464085
12a6750334
136043826b
14382da356
15232d3a5a
hex16890ad8

378079960 has 48 divisors (see below), whose sum is σ = 881103600. Its totient is φ = 146004096.

The previous prime is 378079943. The next prime is 378079973. The reversal of 378079960 is 69970873.

It is a super-3 number, since 3×3780799603 (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28021 + ... + 39259.

It is an arithmetic number, because the mean of its divisors is an integer number (18356325).

Almost surely, 2378079960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378079960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440551800).

378079960 is an abundant number, since it is smaller than the sum of its proper divisors (503023640).

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

378079960 is a wasteful number, since it uses less digits than its factorization.

378079960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11308 (or 11275 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

The square root of 378079960 is about 19444.2783357984. The cubic root of 378079960 is about 723.0936584559.

The spelling of 378079960 in words is "three hundred seventy-eight million, seventy-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 841 1160 1682 3364 4205 6728 8410 11239 16820 22478 33640 44956 56195 89912 112390 224780 325931 449560 651862 1303724 1629655 2607448 3259310 6518620 9451999 13037240 18903998 37807996 47259995 75615992 94519990 189039980 378079960