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2330343312 = 24311191491559
BaseRepresentation
bin1000101011100110…
…0011011110010000
320000101221201001120
42022321203132100
514233031441222
61023123202240
7111514406553
oct21271433620
96011851046
102330343312
11a96466470
12550516380
132b1a3a48b
141816ca69a
15d98b715c
hex8ae63790

2330343312 has 160 divisors (see below), whose sum is σ = 6963840000. Its totient is φ = 664081920.

The previous prime is 2330343283. The next prime is 2330343317. The reversal of 2330343312 is 2133430332.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2330343317) 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, 1493989 + ... + 1495547.

It is an arithmetic number, because the mean of its divisors is an integer number (43524000).

Almost surely, 22330343312 is an apocalyptic number.

2330343312 is a gapful number since it is divisible by the number (22) 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 2330343312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920000).

2330343312 is an abundant number, since it is smaller than the sum of its proper divisors (4633496688).

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

2330343312 is a wasteful number, since it uses less digits than its factorization.

2330343312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 2330343312 is about 48273.6295714337. The cubic root of 2330343312 is about 1325.7856144648.

Adding to 2330343312 its reverse (2133430332), we get a palindrome (4463773644).

The spelling of 2330343312 in words is "two billion, three hundred thirty million, three hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 149 152 176 209 228 264 298 304 418 447 456 528 596 627 836 894 912 1192 1254 1559 1639 1672 1788 2384 2508 2831 3118 3278 3344 3576 4677 4917 5016 5662 6236 6556 7152 8493 9354 9834 10032 11324 12472 13112 16986 17149 18708 19668 22648 24944 26224 29621 31141 33972 34298 37416 39336 45296 51447 59242 62282 67944 68596 74832 78672 88863 93423 102894 118484 124564 135888 137192 177726 186846 205788 232291 236968 249128 274384 325831 355452 373692 411576 464582 473936 498256 651662 696873 710904 747384 823152 929164 977493 1303324 1393746 1421808 1494768 1858328 1954986 2555201 2606648 2787492 3716656 3909972 4413529 5110402 5213296 5574984 7665603 7819944 8827058 10220804 11149968 13240587 15331206 15639888 17654116 20441608 26481174 30662412 35308232 40883216 48548819 52962348 61324824 70616464 97097638 105924696 122649648 145646457 194195276 211849392 291292914 388390552 582585828 776781104 1165171656 2330343312