Search a number
-
+
399534876 = 223313383743
BaseRepresentation
bin10111110100000…
…110101100011100
31000211210110211000
4113310012230130
51304240104001
6103351230300
712620663466
oct2764065434
91024713730
10399534876
11195588514
12b1978390
1364a0a990
143b0c3136
1525120a86
hex17d06b1c

399534876 has 96 divisors (see below), whose sum is σ = 1119928320. Its totient is φ = 122447808.

The previous prime is 399534871. The next prime is 399534899. The reversal of 399534876 is 678435993.

399534876 is a `hidden beast` number, since 39 + 9 + 534 + 8 + 76 = 666.

It is a super-3 number, since 3×3995348763 (a number of 27 digits) contains 333 as substring.

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 (399534871) 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, 537361 + ... + 538103.

It is an arithmetic number, because the mean of its divisors is an integer number (11665920).

Almost surely, 2399534876 is an apocalyptic number.

399534876 is a gapful number since it is divisible by the number (36) 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 399534876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559964160).

399534876 is an abundant number, since it is smaller than the sum of its proper divisors (720393444).

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

399534876 is a wasteful number, since it uses less digits than its factorization.

399534876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1144 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 399534876 is about 19988.3685177155. The cubic root of 399534876 is about 736.5206003836.

The spelling of 399534876 in words is "three hundred ninety-nine million, five hundred thirty-four thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 383 468 702 743 766 1149 1404 1486 1532 2229 2298 2972 3447 4458 4596 4979 6687 6894 8916 9659 9958 10341 13374 13788 14937 19318 19916 20061 20682 26748 28977 29874 38636 40122 41364 44811 57954 59748 80244 86931 89622 115908 134433 173862 179244 260793 268866 284569 347724 521586 537732 569138 853707 1043172 1138276 1707414 2561121 3414828 3699397 5122242 7398794 7683363 10244484 11098191 14797588 15366726 22196382 30733452 33294573 44392764 66589146 99883719 133178292 199767438 399534876