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272384336 = 247217107191
BaseRepresentation
bin10000001111000…
…100000101010000
3200222112120001202
4100033010011100
51024212244321
643010050332
76515141300
oct2017040520
9628476052
10272384336
1112a832424
12772799a8
134457c183
1428265600
1518da670b
hex103c4150

272384336 has 120 divisors (see below), whose sum is σ = 659529216. Its totient is φ = 108272640.

The previous prime is 272384311. The next prime is 272384341. The reversal of 272384336 is 633483272.

Its product of digits (145152) is a multiple of the sum of its prime divisors (324).

It is a self number, because there is not a number n which added to its sum of digits gives 272384336.

It is a congruent number.

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, 1426001 + ... + 1426191.

Almost surely, 2272384336 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 272384336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329764608).

272384336 is an abundant number, since it is smaller than the sum of its proper divisors (387144880).

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

272384336 is a wasteful number, since it uses less digits than its factorization.

272384336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 324 counting only the distinct ones).

The product of its digits is 145152, while the sum is 38.

The square root of 272384336 is about 16504.0702858416. The cubic root of 272384336 is about 648.2273880642.

The spelling of 272384336 in words is "two hundred seventy-two million, three hundred eighty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 107 112 119 136 191 196 214 238 272 382 392 428 476 749 764 784 833 856 952 1337 1498 1528 1666 1712 1819 1904 2674 2996 3056 3247 3332 3638 5243 5348 5992 6494 6664 7276 9359 10486 10696 11984 12733 12988 13328 14552 18718 20437 20972 21392 22729 25466 25976 29104 37436 40874 41944 45458 50932 51952 74872 81748 83888 89131 90916 101864 143059 149744 159103 163496 178262 181832 203728 286118 318206 326992 347429 356524 363664 572236 636412 694858 713048 1001413 1144472 1272824 1389716 1426096 2002826 2288944 2432003 2545648 2779432 4005652 4864006 5558864 8011304 9728012 16022608 17024021 19456024 34048042 38912048 68096084 136192168 272384336