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244261632 = 2834767101
BaseRepresentation
bin11101000111100…
…10001100000000
3122000121202222010
432203302030000
51000012333012
640123212520
76024122016
oct1643621400
9560552863
10244261632
1111597441a
1269977140
133b7b3814
14246248b6
151669dc3c
hexe8f2300

244261632 has 144 divisors (see below), whose sum is σ = 680504832. Its totient is φ = 77721600.

The previous prime is 244261631. The next prime is 244261637. The reversal of 244261632 is 236162442.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 244261632.

It is not an unprimeable number, because it can be changed into a prime (244261631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2418382 + ... + 2418482.

It is an arithmetic number, because the mean of its divisors is an integer number (4725728).

Almost surely, 2244261632 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 244261632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340252416).

244261632 is an abundant number, since it is smaller than the sum of its proper divisors (436243200).

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

244261632 is a wasteful number, since it uses less digits than its factorization.

244261632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 244261632 is about 15628.8717443071. The cubic root of 244261632 is about 625.1032422514.

The spelling of 244261632 in words is "two hundred forty-four million, two hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 67 94 96 101 128 134 141 188 192 201 202 256 268 282 303 376 384 402 404 536 564 606 752 768 804 808 1072 1128 1212 1504 1608 1616 2144 2256 2424 3008 3149 3216 3232 4288 4512 4747 4848 6016 6298 6432 6464 6767 8576 9024 9447 9494 9696 12032 12596 12864 12928 13534 14241 17152 18048 18894 18988 19392 20301 25192 25728 25856 27068 28482 36096 37788 37976 38784 40602 50384 51456 54136 56964 75576 75952 77568 81204 100768 108272 113928 151152 151904 162408 201536 216544 227856 302304 303808 318049 324816 403072 433088 455712 604608 607616 636098 649632 806144 866176 911424 954147 1209216 1215232 1272196 1299264 1732352 1822848 1908294 2418432 2544392 2598528 3645696 3816588 5088784 5197056 7633176 10177568 15266352 20355136 30532704 40710272 61065408 81420544 122130816 244261632