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2322134320 = 245113497561
BaseRepresentation
bin1000101001101000…
…1111010100110000
312222211111122102211
42022122033110300
514223431244240
61022231221504
7111354546622
oct21232172460
95884448384
102322134320
11a91869980
12549817894
132b0124b9c
14180590c12
15d8ce4bea
hex8a68f530

2322134320 has 80 divisors (see below), whose sum is σ = 5907434400. Its totient is φ = 841881600.

The previous prime is 2322134317. The next prime is 2322134351. The reversal of 2322134320 is 234312232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2322134291 and 2322134300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303340 + ... + 310900.

It is an arithmetic number, because the mean of its divisors is an integer number (73842930).

Almost surely, 22322134320 is an apocalyptic number.

2322134320 is a gapful number since it is divisible by the number (20) 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 2322134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953717200).

2322134320 is an abundant number, since it is smaller than the sum of its proper divisors (3585300080).

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

2322134320 is a wasteful number, since it uses less digits than its factorization.

2322134320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7934 (or 7928 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2322134320 is about 48188.5289254611. The cubic root of 2322134320 is about 1324.2270217953.

Adding to 2322134320 its reverse (234312232), we get a palindrome (2556446552).

The spelling of 2322134320 in words is "two billion, three hundred twenty-two million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 349 440 698 880 1396 1745 2792 3490 3839 5584 6980 7561 7678 13960 15122 15356 19195 27920 30244 30712 37805 38390 60488 61424 75610 76780 83171 120976 151220 153560 166342 302440 307120 332684 415855 604880 665368 831710 1330736 1663420 2638789 3326840 5277578 6653680 10555156 13193945 21110312 26387890 29026679 42220624 52775780 58053358 105551560 116106716 145133395 211103120 232213432 290266790 464426864 580533580 1161067160 2322134320