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2321613312 = 2933148757
BaseRepresentation
bin1000101001100001…
…0000001000000000
312222210112011202020
42022120100020000
514223313111222
61022212121440
7111350246634
oct21230201000
95883464666
102321613312
11a91543497
12549606280
132acca19b5
14180496dc4
15d8c4065c
hex8a610200

2321613312 has 80 divisors (see below), whose sum is σ = 6384567552. Its totient is φ = 748892160.

The previous prime is 2321613311. The next prime is 2321613323. The reversal of 2321613312 is 2133161232.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (2321613311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23238 + ... + 71994.

Almost surely, 22321613312 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 2321613312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192283776).

2321613312 is an abundant number, since it is smaller than the sum of its proper divisors (4062954240).

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

2321613312 is an equidigital number, since it uses as much as digits as its factorization.

2321613312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48809 (or 48793 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 2321613312 is about 48183.1226883439. The cubic root of 2321613312 is about 1324.1279772121.

Adding to 2321613312 its reverse (2133161232), we get a palindrome (4454774544).

The spelling of 2321613312 in words is "two billion, three hundred twenty-one million, six hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1488 1536 1984 2976 3968 5952 7936 11904 15872 23808 47616 48757 97514 146271 195028 292542 390056 585084 780112 1170168 1511467 1560224 2340336 3022934 3120448 4534401 4680672 6045868 6240896 9068802 9361344 12091736 12481792 18137604 18722688 24183472 24963584 36275208 37445376 48366944 72550416 74890752 96733888 145100832 193467776 290201664 386935552 580403328 773871104 1160806656 2321613312