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645043440 = 24354436067
BaseRepresentation
bin100110011100101…
…001010011110000
31122221202121020210
4212130221103300
52310112342230
6144001304120
721661531056
oct4634512360
91587677223
10645043440
11301123758
12160035040
13a3839c12
14619501d6
153b968eb0
hex267294f0

645043440 has 80 divisors (see below), whose sum is σ = 2004478848. Its totient is φ = 171595008.

The previous prime is 645043429. The next prime is 645043457. The reversal of 645043440 is 44340546.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 645043398 and 645043407.

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, 103287 + ... + 109353.

Almost surely, 2645043440 is an apocalyptic number.

645043440 is a gapful number since it is divisible by the number (60) 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 645043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002239424).

645043440 is an abundant number, since it is smaller than the sum of its proper divisors (1359435408).

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

645043440 is a wasteful number, since it uses less digits than its factorization.

645043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6526 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 645043440 is about 25397.7054081663. The cubic root of 645043440 is about 864.0316560761.

Adding to 645043440 its reverse (44340546), we get a palindrome (689383986).

The spelling of 645043440 in words is "six hundred forty-five million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 443 886 1329 1772 2215 2658 3544 4430 5316 6067 6645 7088 8860 10632 12134 13290 17720 18201 21264 24268 26580 30335 35440 36402 48536 53160 60670 72804 91005 97072 106320 121340 145608 182010 242680 291216 364020 485360 728040 1456080 2687681 5375362 8063043 10750724 13438405 16126086 21501448 26876810 32252172 40315215 43002896 53753620 64504344 80630430 107507240 129008688 161260860 215014480 322521720 645043440