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2345073380 = 2251337324181
BaseRepresentation
bin1000101111000110…
…1111101011100100
320001102200001220122
42023301233223210
514300314322010
61024411021112
7112053536426
oct21361575344
96042601818
102345073380
11aa3807381
1255543a798
132b4ac6cb0
14183642816
15dad26855
hex8bc6fae4

2345073380 has 48 divisors (see below), whose sum is σ = 5317911984. Its totient is φ = 863516160.

The previous prime is 2345073329. The next prime is 2345073397. The reversal of 2345073380 is 833705432.

It can be written as a sum of positive squares in 8 ways, for example, as 32809984 + 2312263396 = 5728^2 + 48086^2 .

It is a super-3 number, since 3×23450733803 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2345073380.

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, 84890 + ... + 109070.

It is an arithmetic number, because the mean of its divisors is an integer number (110789833).

Almost surely, 22345073380 is an apocalyptic number.

2345073380 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 2345073380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658955992).

2345073380 is an abundant number, since it is smaller than the sum of its proper divisors (2972838604).

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

2345073380 is a wasteful number, since it uses less digits than its factorization.

2345073380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24576 (or 24574 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 2345073380 is about 48425.9577086504. The cubic root of 2345073380 is about 1328.5731735218.

The spelling of 2345073380 in words is "two billion, three hundred forty-five million, seventy-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 373 746 1492 1865 3730 4849 7460 9698 19396 24181 24245 48362 48490 96724 96980 120905 241810 314353 483620 628706 1257412 1571765 3143530 6287060 9019513 18039026 36078052 45097565 90195130 117253669 180390260 234507338 469014676 586268345 1172536690 2345073380