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378490968 = 23387211
BaseRepresentation
bin10110100011110…
…101000001011000
3222101012100000000
4112203311001120
51233343202333
6101320213000
712244056132
oct2643650130
9871170000
10378490968
11184714959
12a690a160
136055036b
14383a6052
1523365713
hex168f5058

378490968 has 72 divisors (see below), whose sum is σ = 1064599380. Its totient is φ = 126146160.

The previous prime is 378490961. The next prime is 378490999. The reversal of 378490968 is 869094873.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378490961) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 48883 + ... + 56093.

Almost surely, 2378490968 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 378490968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532299690).

378490968 is an abundant number, since it is smaller than the sum of its proper divisors (686108412).

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

378490968 is an frugal number, since it uses more digits than its factorization.

378490968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7241 (or 7216 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 378490968 is about 19454.8443324535. The cubic root of 378490968 is about 723.3555868671.

The spelling of 378490968 in words is "three hundred seventy-eight million, four hundred ninety thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 7211 8748 13122 14422 17496 21633 26244 28844 43266 52488 57688 64899 86532 129798 173064 194697 259596 389394 519192 584091 778788 1168182 1557576 1752273 2336364 3504546 4672728 5256819 7009092 10513638 14018184 15770457 21027276 31540914 42054552 47311371 63081828 94622742 126163656 189245484 378490968