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2343312320 = 26531534457
BaseRepresentation
bin1000101110101100…
…0001101111000000
320001022100121012012
42023223001233000
514244341443240
61024305152052
7112032553226
oct21353015700
96038317165
102343312320
11aa2814258
1255492b628
132b462b54b
14183304b16
15daac9b65
hex8bac1bc0

2343312320 has 112 divisors (see below), whose sum is σ = 5870009088. Its totient is φ = 889774080.

The previous prime is 2343312281. The next prime is 2343312331. The reversal of 2343312320 is 232133432.

It is a super-2 number, since 2×23433123202 = 10982225258127564800, which contains 22 as substring.

It is a congruent number.

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, 523532 + ... + 527988.

Almost surely, 22343312320 is an apocalyptic number.

2343312320 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 2343312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935004544).

2343312320 is an abundant number, since it is smaller than the sum of its proper divisors (3526696768).

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

2343312320 is a wasteful number, since it uses less digits than its factorization.

2343312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4558 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 2343312320 is about 48407.7712769345. The cubic root of 2343312320 is about 1328.2405211036.

Adding to 2343312320 its reverse (232133432), we get a palindrome (2575445752).

It can be divided in two parts, 23433 and 12320, that added together give a palindrome (35753).

The spelling of 2343312320 in words is "two billion, three hundred forty-three million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 53 62 64 80 106 124 155 160 212 248 265 310 320 424 496 530 620 848 992 1060 1240 1643 1696 1984 2120 2480 3286 3392 4240 4457 4960 6572 8215 8480 8914 9920 13144 16430 16960 17828 22285 26288 32860 35656 44570 52576 65720 71312 89140 105152 131440 138167 142624 178280 236221 262880 276334 285248 356560 472442 525760 552668 690835 713120 944884 1105336 1181105 1381670 1426240 1889768 2210672 2362210 2763340 3779536 4421344 4724420 5526680 7322851 7559072 8842688 9448840 11053360 14645702 15118144 18897680 22106720 29291404 36614255 37795360 44213440 58582808 73228510 75590720 117165616 146457020 234331232 292914040 468662464 585828080 1171656160 2343312320