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2343002320 = 24531967977
BaseRepresentation
bin1000101110100111…
…0110000011010000
320001021202211221201
42023221312003100
514244302033240
61024254400544
7112030122361
oct21351660320
96037684851
102343002320
11aa262235a
12554800154
132b4550409
14183263b68
15daa67d9a
hex8ba760d0

2343002320 has 80 divisors (see below), whose sum is σ = 5634782208. Its totient is φ = 905103360.

The previous prime is 2343002317. The next prime is 2343002353. The reversal of 2343002320 is 232003432.

It is a tau number, because it is divible by the number of its divisors (80).

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, 2397672 + ... + 2398648.

Almost surely, 22343002320 is an apocalyptic number.

2343002320 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 2343002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817391104).

2343002320 is an abundant number, since it is smaller than the sum of its proper divisors (3291779888).

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

2343002320 is a wasteful number, since it uses less digits than its factorization.

2343002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 2343002320 is about 48404.5692058095. The cubic root of 2343002320 is about 1328.1819469340.

Adding to 2343002320 its reverse (232003432), we get a palindrome (2575005752).

The spelling of 2343002320 in words is "two billion, three hundred forty-three million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 967 977 1240 1934 1954 2480 3868 3908 4835 4885 7736 7816 9670 9770 15472 15632 19340 19540 29977 30287 38680 39080 59954 60574 77360 78160 119908 121148 149885 151435 239816 242296 299770 302870 479632 484592 599540 605740 944759 1199080 1211480 1889518 2398160 2422960 3779036 4723795 7558072 9447590 15116144 18895180 29287529 37790360 58575058 75580720 117150116 146437645 234300232 292875290 468600464 585750580 1171501160 2343002320