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378468828 = 2233191811019
BaseRepresentation
bin10110100011101…
…111100111011100
3222101011012122000
4112203233213130
51233342000303
6101315522300
712243634443
oct2643574734
9871135560
10378468828
111846aa261
12a68b9390
136054326a
143839bd5a
152335dda3
hex168ef9dc

378468828 has 96 divisors (see below), whose sum is σ = 1039584000. Its totient is φ = 118739520.

The previous prime is 378468799. The next prime is 378468833. The reversal of 378468828 is 828864873.

378468828 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

378468828 is a nontrivial binomial coefficient, being equal to C(27513, 2).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370903 + ... + 371921.

It is an arithmetic number, because the mean of its divisors is an integer number (10829000).

Almost surely, 2378468828 is an apocalyptic number.

378468828 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

378468828 is the 27512-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378468828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519792000).

378468828 is an abundant number, since it is smaller than the sum of its proper divisors (661115172).

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

378468828 is a wasteful number, since it uses less digits than its factorization.

378468828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1224 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 378468828 is about 19454.2753141822. The cubic root of 378468828 is about 723.3414822549.

The spelling of 378468828 in words is "three hundred seventy-eight million, four hundred sixty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 181 228 342 362 513 543 684 724 1019 1026 1086 1629 2038 2052 2172 3057 3258 3439 4076 4887 6114 6516 6878 9171 9774 10317 12228 13756 18342 19361 19548 20634 27513 30951 36684 38722 41268 55026 58083 61902 77444 92853 110052 116166 123804 174249 184439 185706 232332 348498 368878 371412 522747 553317 696996 737756 1045494 1106634 1659951 2090988 2213268 3319902 3504341 4979853 6639804 7008682 9959706 10513023 14017364 19919412 21026046 31539069 42052092 63078138 94617207 126156276 189234414 378468828