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2342425440 = 25355998147
BaseRepresentation
bin1000101110011110…
…1001001101100000
320001020200112121210
42023213221031200
514244130103230
61024234150120
7112022200455
oct21347511540
96036615553
102342425440
11aa22689a3
12554582340
132b43aa974
1418315382c
15da9a1eb0
hex8b9e9360

2342425440 has 96 divisors (see below), whose sum is σ = 7391865600. Its totient is φ = 623527424.

The previous prime is 2342425429. The next prime is 2342425451. The reversal of 2342425440 is 445242432.

It is an interprime number because it is at equal distance from previous prime (2342425429) and next prime (2342425451).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2342425398 and 2342425407.

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, 283447 + ... + 291593.

It is an arithmetic number, because the mean of its divisors is an integer number (76998600).

Almost surely, 22342425440 is an apocalyptic number.

2342425440 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 2342425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695932800).

2342425440 is an abundant number, since it is smaller than the sum of its proper divisors (5049440160).

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

2342425440 is a wasteful number, since it uses less digits than its factorization.

2342425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8764 (or 8756 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 2342425440 is about 48398.6098973927. The cubic root of 2342425440 is about 1328.0729323182.

Adding to 2342425440 its reverse (445242432), we get a palindrome (2787667872).

The spelling of 2342425440 in words is "two billion, three hundred forty-two million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 599 1198 1797 2396 2995 3594 4792 5990 7188 8147 8985 9584 11980 14376 16294 17970 19168 23960 24441 28752 32588 35940 40735 47920 48882 57504 65176 71880 81470 95840 97764 122205 130352 143760 162940 195528 244410 260704 287520 325880 391056 488820 651760 782112 977640 1303520 1955280 3910560 4880053 9760106 14640159 19520212 24400265 29280318 39040424 48800530 58560636 73200795 78080848 97601060 117121272 146401590 156161696 195202120 234242544 292803180 390404240 468485088 585606360 780808480 1171212720 2342425440