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245344040 = 23537971709
BaseRepresentation
bin11101001111110…
…10011100101000
3122002122202202022
432213322130220
51000302002130
640202324012
76036250514
oct1647723450
9562582668
10245344040
11116543677
126a1b9608
133baa23b6
1424827144
15168147e5
hexe9fa728

245344040 has 64 divisors (see below), whose sum is σ = 573123600. Its totient is φ = 94445568.

The previous prime is 245344027. The next prime is 245344063. The reversal of 245344040 is 40443542.

It can be written as a sum of positive squares in 8 ways, for example, as 113507716 + 131836324 = 10654^2 + 11482^2 .

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, 142706 + ... + 144414.

Almost surely, 2245344040 is an apocalyptic number.

245344040 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 245344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286561800).

245344040 is an abundant number, since it is smaller than the sum of its proper divisors (327779560).

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

245344040 is a wasteful number, since it uses less digits than its factorization.

245344040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 245344040 is about 15663.4619417292. The cubic root of 245344040 is about 626.0252314545.

Adding to 245344040 its reverse (40443542), we get a palindrome (285787582).

The spelling of 245344040 in words is "two hundred forty-five million, three hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 97 148 185 194 296 370 388 485 740 776 970 1480 1709 1940 3418 3589 3880 6836 7178 8545 13672 14356 17090 17945 28712 34180 35890 63233 68360 71780 126466 143560 165773 252932 316165 331546 505864 632330 663092 828865 1264660 1326184 1657730 2529320 3315460 6133601 6630920 12267202 24534404 30668005 49068808 61336010 122672020 245344040