Search a number
-
+
378696828 = 2231719412383
BaseRepresentation
bin10110100100100…
…111010001111100
3222101120210101110
4112210213101330
51233421244303
6101324442020
712245604246
oct2644472174
9871523343
10378696828
11184845594
12a69a9310
13605c2c83
143841b096
15233a6703
hex1692747c

378696828 has 96 divisors (see below), whose sum is σ = 1009290240. Its totient is φ = 109762560.

The previous prime is 378696823. The next prime is 378696839. The reversal of 378696828 is 828696873.

It is a super-2 number, since 2×3786968282 = 286822575074523168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378696821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157725 + ... + 160107.

It is an arithmetic number, because the mean of its divisors is an integer number (10513440).

Almost surely, 2378696828 is an apocalyptic number.

378696828 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378696828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504645120).

378696828 is an abundant number, since it is smaller than the sum of its proper divisors (630593412).

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

378696828 is a wasteful number, since it uses less digits than its factorization.

378696828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2465 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The square root of 378696828 is about 19460.1343263606. The cubic root of 378696828 is about 723.4867066776.

The spelling of 378696828 in words is "three hundred seventy-eight million, six hundred ninety-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 19 34 38 41 51 57 68 76 82 102 114 123 164 204 228 246 323 492 646 697 779 969 1292 1394 1558 1938 2091 2337 2383 2788 3116 3876 4182 4674 4766 7149 8364 9348 9532 13243 14298 26486 28596 39729 40511 45277 52972 79458 81022 90554 97703 121533 135831 158916 162044 181108 195406 243066 271662 293109 390812 486132 543324 586218 769709 1172436 1539418 1660951 1856357 2309127 3078836 3321902 3712714 4618254 4982853 5569071 6643804 7425428 9236508 9965706 11138142 19931412 22276284 31558069 63116138 94674207 126232276 189348414 378696828