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2343299540 = 2253767151313
BaseRepresentation
bin1000101110101011…
…1110100111010100
320001022022221122212
42023222332213110
514244341041130
61024305012552
7112032501041
oct21352764724
96038287585
102343299540
11aa280569a
12554924158
132b462579a
141833001c8
15daac5e95
hex8babe9d4

2343299540 has 96 divisors (see below), whose sum is σ = 5179824384. Its totient is φ = 889574400.

The previous prime is 2343299537. The next prime is 2343299551. The reversal of 2343299540 is 459923432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7486424 + ... + 7486736.

It is an arithmetic number, because the mean of its divisors is an integer number (53956504).

Almost surely, 22343299540 is an apocalyptic number.

2343299540 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 2343299540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589912192).

2343299540 is an abundant number, since it is smaller than the sum of its proper divisors (2836524844).

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

2343299540 is a wasteful number, since it uses less digits than its factorization.

2343299540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The square root of 2343299540 is about 48407.6392731561. The cubic root of 2343299540 is about 1328.2381064383.

The spelling of 2343299540 in words is "two billion, three hundred forty-three million, two hundred ninety-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 67 74 134 148 151 185 268 302 313 335 370 604 626 670 740 755 1252 1340 1510 1565 2479 3020 3130 4958 5587 6260 9916 10117 11174 11581 12395 20234 20971 22348 23162 24790 27935 40468 41942 46324 47263 49580 50585 55870 57905 83884 94526 101170 104855 111740 115810 189052 202340 209710 231620 236315 374329 419420 472630 748658 775927 945260 1497316 1551854 1748731 1871645 3103708 3166621 3497462 3743290 3879635 6333242 6994924 7486580 7759270 8743655 12666484 15518540 15833105 17487310 31666210 34974620 63332420 117164977 234329954 468659908 585824885 1171649770 2343299540