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2345052000 = 25353732677
BaseRepresentation
bin1000101111000110…
…1010011101100000
320001102121222120210
42023301222131200
514300313131000
61024410334120
7112053420204
oct21361523540
96042558523
102345052000
11aa37a2305
1255542a340
132b4aba345
14183638b04
15dad20350
hex8bc6a760

2345052000 has 192 divisors, whose sum is σ = 7790537664. Its totient is φ = 616550400.

The previous prime is 2345051993. The next prime is 2345052013. The reversal of 2345052000 is 2505432.

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, 874662 + ... + 877338.

It is an arithmetic number, because the mean of its divisors is an integer number (40575717).

Almost surely, 22345052000 is an apocalyptic number.

2345052000 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 2345052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895268832).

2345052000 is an abundant number, since it is smaller than the sum of its proper divisors (5445485664).

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

2345052000 is a wasteful number, since it uses less digits than its factorization.

2345052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 2345052000 is about 48425.7369587702. The cubic root of 2345052000 is about 1328.5691359820.

Adding to 2345052000 its reverse (2505432), we get a palindrome (2347557432).

The spelling of 2345052000 in words is "two billion, three hundred forty-five million, fifty-two thousand".