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378417380 = 225113474957
BaseRepresentation
bin10110100011100…
…011000011100100
3222101001121001112
4112203203003210
51233333324010
6101314444152
712243331445
oct2643430344
9871047045
10378417380
11184674640
12a6893658
1360525a13
14383872cc
152334da05
hex168e30e4

378417380 has 48 divisors (see below), whose sum is σ = 869593536. Its totient is φ = 137182080.

The previous prime is 378417373. The next prime is 378417401. The reversal of 378417380 is 83714873.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73862 + ... + 78818.

It is an arithmetic number, because the mean of its divisors is an integer number (18116532).

Almost surely, 2378417380 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 378417380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434796768).

378417380 is an abundant number, since it is smaller than the sum of its proper divisors (491176156).

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

378417380 is a wasteful number, since it uses less digits than its factorization.

378417380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5324 (or 5322 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 378417380 is about 19452.9529891994. The cubic root of 378417380 is about 723.3087044264.

The spelling of 378417380 in words is "three hundred seventy-eight million, four hundred seventeen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 347 694 1388 1735 3470 3817 4957 6940 7634 9914 15268 19085 19828 24785 38170 49570 54527 76340 99140 109054 218108 272635 545270 1090540 1720079 3440158 6880316 8600395 17200790 18920869 34401580 37841738 75683476 94604345 189208690 378417380