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2342000320 = 26511719371
BaseRepresentation
bin1000101110011000…
…0001011011000000
320001012212221110121
42023212001123000
514244023002240
61024221110024
7112015450162
oct21346013300
96035787417
102342000320
11aa1aa8560
125543b8314
132b428c30a
14183082932
15da91b04a
hex8b9816c0

2342000320 has 112 divisors (see below), whose sum is σ = 6170224896. Its totient is φ = 839552000.

The previous prime is 2342000303. The next prime is 2342000329. The reversal of 2342000320 is 230002432.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2342000294 and 2342000303.

It is not an unprimeable number, because it can be changed into a prime (2342000329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245235 + ... + 254605.

Almost surely, 22342000320 is an apocalyptic number.

2342000320 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 2342000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085112448).

2342000320 is an abundant number, since it is smaller than the sum of its proper divisors (3828224576).

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

2342000320 is a wasteful number, since it uses less digits than its factorization.

2342000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9470 (or 9460 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2342000320 is about 48394.2178364317. The cubic root of 2342000320 is about 1327.9925847556.

Adding to 2342000320 its reverse (230002432), we get a palindrome (2572002752).

The spelling of 2342000320 in words is "two billion, three hundred forty-two million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 71 80 88 110 142 160 176 220 284 320 352 355 440 568 704 710 781 880 1136 1420 1562 1760 2272 2840 3124 3520 3905 4544 5680 6248 7810 9371 11360 12496 15620 18742 22720 24992 31240 37484 46855 49984 62480 74968 93710 103081 124960 149936 187420 206162 249920 299872 374840 412324 515405 599744 665341 749680 824648 1030810 1330682 1499360 1649296 2061620 2661364 2998720 3298592 3326705 4123240 5322728 6597184 6653410 7318751 8246480 10645456 13306820 14637502 16492960 21290912 26613640 29275004 32985920 36593755 42581824 53227280 58550008 73187510 106454560 117100016 146375020 212909120 234200032 292750040 468400064 585500080 1171000160 2342000320