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244352416 = 25721131457
BaseRepresentation
bin11101001000010…
…00010110100000
3122000210101111111
432210020112200
51000023234131
640125153104
76024650500
oct1644102640
9560711444
10244352416
11115a26650
12699bb794
133b815c39
1424649a00
15166baab1
hexe9085a0

244352416 has 144 divisors (see below), whose sum is σ = 631556352. Its totient is φ = 91929600.

The previous prime is 244352413. The next prime is 244352461. The reversal of 244352416 is 614253442.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (244352411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534460 + ... + 534916.

It is an arithmetic number, because the mean of its divisors is an integer number (4385808).

Almost surely, 2244352416 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 244352416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315778176).

244352416 is an abundant number, since it is smaller than the sum of its proper divisors (387203936).

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

244352416 is a wasteful number, since it uses less digits than its factorization.

244352416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 508 counting only the distinct ones).

The product of its digits is 23040, while the sum is 31.

The square root of 244352416 is about 15631.7758428145. The cubic root of 244352416 is about 625.1806760848.

The spelling of 244352416 in words is "two hundred forty-four million, three hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 49 56 62 77 88 98 112 124 154 176 196 217 224 248 308 341 352 392 434 457 496 539 616 682 784 868 914 992 1078 1232 1364 1519 1568 1736 1828 2156 2387 2464 2728 3038 3199 3472 3656 4312 4774 5027 5456 6076 6398 6944 7312 8624 9548 10054 10912 12152 12796 14167 14624 16709 17248 19096 20108 22393 24304 25592 28334 33418 35189 38192 40216 44786 48608 51184 56668 66836 70378 76384 80432 89572 99169 102368 113336 133672 140756 155837 160864 179144 198338 226672 246323 267344 281512 311674 358288 396676 453344 492646 534688 563024 623348 694183 716576 793352 985292 1090859 1126048 1246696 1388366 1586704 1970584 2181718 2493392 2776732 3173408 3941168 4363436 4986784 5553464 7636013 7882336 8726872 11106928 15272026 17453744 22213856 30544052 34907488 61088104 122176208 244352416