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2345453440 = 27511333161
BaseRepresentation
bin1000101111001100…
…1100011110000000
320001110101101020221
42023303030132000
514300414002230
61024423112424
7112060011451
oct21363143600
96043341227
102345453440
11aa3a46980
125555a2714
132b4bcac95
14183701128
15dad9e27a
hex8bccc780

2345453440 has 64 divisors (see below), whose sum is σ = 6116854320. Its totient is φ = 852889600.

The previous prime is 2345453437. The next prime is 2345453449. The reversal of 2345453440 is 443545432.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2345453396 and 2345453405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345453449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159541 + ... + 173620.

Almost surely, 22345453440 is an apocalyptic number.

2345453440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2345453440 is an abundant number, since it is smaller than the sum of its proper divisors (3771400880).

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

2345453440 is a wasteful number, since it uses less digits than its factorization.

2345453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333191 (or 333179 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

The square root of 2345453440 is about 48429.8816847615. The cubic root of 2345453440 is about 1328.6449424550.

Adding to 2345453440 its reverse (443545432), we get a palindrome (2788998872).

The spelling of 2345453440 in words is "two billion, three hundred forty-five million, four hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 333161 666322 1332644 1665805 2665288 3331610 3664771 5330576 6663220 7329542 10661152 13326440 14659084 18323855 21322304 26652880 29318168 36647710 42644608 53305760 58636336 73295420 106611520 117272672 146590840 213223040 234545344 293181680 469090688 586363360 1172726720 2345453440