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2345913820 = 225294721831
BaseRepresentation
bin1000101111010011…
…1100110111011100
320001111020202210001
42023310330313130
514301023220240
61024441024044
7112063636615
oct21364746734
96044222701
102345913820
11aa4230858
12555785024
132b502c6b3
141837c0c0c
15dae4089a
hex8bd3cddc

2345913820 has 72 divisors (see below), whose sum is σ = 5209878240. Its totient is φ = 886247040.

The previous prime is 2345913763. The next prime is 2345913833. The reversal of 2345913820 is 283195432.

It is a self number, because there is not a number n which added to its sum of digits gives 2345913820.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1280305 + ... + 1282135.

It is an arithmetic number, because the mean of its divisors is an integer number (72359420).

Almost surely, 22345913820 is an apocalyptic number.

2345913820 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 2345913820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604939120).

2345913820 is an abundant number, since it is smaller than the sum of its proper divisors (2863964420).

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

2345913820 is a wasteful number, since it uses less digits than its factorization.

2345913820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 2345913820 is about 48434.6345087893. The cubic root of 2345913820 is about 1328.7318682965.

The spelling of 2345913820 in words is "two billion, three hundred forty-five million, nine hundred thirteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 29 47 58 94 116 145 188 235 290 470 580 940 1363 1831 2209 2726 3662 4418 5452 6815 7324 8836 9155 11045 13630 18310 22090 27260 36620 44180 53099 64061 86057 106198 128122 172114 212396 256244 265495 320305 344228 430285 530990 640610 860570 1061980 1281220 1721140 2495653 4044679 4991306 8089358 9982612 12478265 16178716 20223395 24956530 40446790 49913060 80893580 117295691 234591382 469182764 586478455 1172956910 2345913820