Search a number
-
+
1832421312 = 26336071747
BaseRepresentation
bin110110100111000…
…1000011111000000
311201201000122111000
41231032020133000
512223044440222
6501455052000
763260216121
oct15516103700
94651018430
101832421312
11860399287
12431811000
13232832187
14135516048
15aad0e9ac
hex6d3887c0

1832421312 has 112 divisors (see below), whose sum is σ = 5398942720. Its totient is φ = 609451776.

The previous prime is 1832421287. The next prime is 1832421317. The reversal of 1832421312 is 2131242381.

1832421312 is a `hidden beast` number, since 1 + 8 + 324 + 21 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1832421317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1048023 + ... + 1049769.

Almost surely, 21832421312 is an apocalyptic number.

1832421312 is a gapful number since it is divisible by the number (12) 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 1832421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699471360).

1832421312 is an abundant number, since it is smaller than the sum of its proper divisors (3566521408).

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

1832421312 is a wasteful number, since it uses less digits than its factorization.

1832421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2359 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1832421312 is about 42806.7904893604. The cubic root of 1832421312 is about 1223.7004264933.

Adding to 1832421312 its reverse (2131242381), we get a palindrome (3963663693).

The spelling of 1832421312 in words is "one billion, eight hundred thirty-two million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 607 864 1214 1728 1747 1821 2428 3494 3642 4856 5241 5463 6988 7284 9712 10482 10926 13976 14568 15723 16389 19424 20964 21852 27952 29136 31446 32778 38848 41928 43704 47169 55904 58272 62892 65556 83856 87408 94338 111808 116544 125784 131112 167712 174816 188676 251568 262224 335424 349632 377352 503136 524448 754704 1006272 1048896 1060429 1509408 2120858 3018816 3181287 4241716 6362574 8483432 9543861 12725148 16966864 19087722 25450296 28631583 33933728 38175444 50900592 57263166 67867456 76350888 101801184 114526332 152701776 203602368 229052664 305403552 458105328 610807104 916210656 1832421312