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244324656 = 2432101107157
BaseRepresentation
bin11101001000000…
…01100100110000
3122000201222102100
432210001210300
51000021342111
640124420400
76024503532
oct1644014460
9560658370
10244324656
11115a07804
12699a7700
133b806404
142463d852
15166b2756
hexe901930

244324656 has 120 divisors (see below), whose sum is σ = 701432784. Its totient is φ = 79372800.

The previous prime is 244324627. The next prime is 244324709. The reversal of 244324656 is 656423442.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 244324656.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1556130 + ... + 1556286.

Almost surely, 2244324656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244324656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350716392).

244324656 is an abundant number, since it is smaller than the sum of its proper divisors (457108128).

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

244324656 is a wasteful number, since it uses less digits than its factorization.

244324656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 244324656 is about 15630.8878826508. The cubic root of 244324656 is about 625.1570003448.

It can be divided in two parts, 244 and 324656, that added together give a square (324900 = 5702).

The spelling of 244324656 in words is "two hundred forty-four million, three hundred twenty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 107 144 157 202 214 303 314 321 404 428 471 606 628 642 808 856 909 942 963 1212 1256 1284 1413 1616 1712 1818 1884 1926 2424 2512 2568 2826 3636 3768 3852 4848 5136 5652 7272 7536 7704 10807 11304 14544 15408 15857 16799 21614 22608 31714 32421 33598 43228 47571 50397 63428 64842 67196 86456 95142 97263 100794 126856 129684 134392 142713 151191 172912 190284 194526 201588 253712 259368 268784 285426 302382 380568 389052 403176 518736 570852 604764 761136 778104 806352 1141704 1209528 1556208 1696699 2283408 2419056 3393398 5090097 6786796 10180194 13573592 15270291 20360388 27147184 30540582 40720776 61081164 81441552 122162328 244324656