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244293040 = 2455973709
BaseRepresentation
bin11101000111110…
…01110110110000
3122000200101001101
432203321312300
51000014334130
640124014144
76024312415
oct1643716660
9560611041
10244293040
11115995a82
1269991354
133b7c4bc4
142463210c
15166a81ca
hexe8f9db0

244293040 has 80 divisors (see below), whose sum is σ = 586346400. Its totient is φ = 94611456.

The previous prime is 244293017. The next prime is 244293053. The reversal of 244293040 is 40392442.

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

It is a super-3 number, since 3×2442930403 (a number of 26 digits) contains 333 as substring.

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, 344206 + ... + 344914.

It is an arithmetic number, because the mean of its divisors is an integer number (7329330).

Almost surely, 2244293040 is an apocalyptic number.

244293040 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 244293040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293173200).

244293040 is an abundant number, since it is smaller than the sum of its proper divisors (342053360).

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

244293040 is a wasteful number, since it uses less digits than its factorization.

244293040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 244293040 is about 15629.8765190260. The cubic root of 244293040 is about 625.1300337441.

The spelling of 244293040 in words is "two hundred forty-four million, two hundred ninety-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 73 80 118 146 236 292 295 365 472 584 590 709 730 944 1168 1180 1418 1460 2360 2836 2920 3545 4307 4720 5672 5840 7090 8614 11344 14180 17228 21535 28360 34456 41831 43070 51757 56720 68912 83662 86140 103514 167324 172280 207028 209155 258785 334648 344560 414056 418310 517570 669296 828112 836620 1035140 1673240 2070280 3053663 3346480 4140560 6107326 12214652 15268315 24429304 30536630 48858608 61073260 122146520 244293040