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3300431244 = 22311316191303
BaseRepresentation
bin1100010010111000…
…1001010110001100
322112000100021112020
43010232021112030
523224402244434
61303255410140
7144534126345
oct30456112614
98460307466
103300431244
111444009930
12781383950
13407a036c6
1423448d0cc
15144b3a849
hexc4b8958c

3300431244 has 96 divisors (see below), whose sum is σ = 8692776960. Its totient is φ = 965563200.

The previous prime is 3300431231. The next prime is 3300431249. The reversal of 3300431244 is 4421340033.

It is not an unprimeable number, because it can be changed into a prime (3300431249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2532297 + ... + 2533599.

It is an arithmetic number, because the mean of its divisors is an integer number (90549760).

Almost surely, 23300431244 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 3300431244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346388480).

3300431244 is an abundant number, since it is smaller than the sum of its proper divisors (5392345716).

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

3300431244 is a wasteful number, since it uses less digits than its factorization.

3300431244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3300431244 is about 57449.3798399948. The cubic root of 3300431244 is about 1488.8704024989.

Adding to 3300431244 its reverse (4421340033), we get a palindrome (7721771277).

The spelling of 3300431244 in words is "three billion, three hundred million, four hundred thirty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 619 682 1023 1238 1303 1364 1857 2046 2476 2606 3714 3909 4092 5212 6809 7428 7818 13618 14333 15636 19189 20427 27236 28666 38378 40393 40854 42999 57332 57567 76756 80786 81708 85998 115134 121179 161572 171996 211079 230268 242358 422158 444323 484716 633237 806557 844316 888646 1266474 1332969 1613114 1777292 2419671 2532948 2665938 3226228 4839342 5331876 8872127 9678684 17744254 25003267 26616381 35488508 50006534 53232762 75009801 100013068 106465524 150019602 275035937 300039204 550071874 825107811 1100143748 1650215622 3300431244