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81340644 = 223711471873
BaseRepresentation
bin1001101100100…
…10100011100100
312200001112101110
410312102203210
5131310400034
612023225020
72005245510
oct466224344
9180045343
1081340644
1141a07480
12232a8170
1313b0c678
14ab35140
15721ade9
hex4d928e4

81340644 has 96 divisors (see below), whose sum is σ = 241790976. Its totient is φ = 20666880.

The previous prime is 81340619. The next prime is 81340657. The reversal of 81340644 is 44604318.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42492 + ... + 44364.

It is an arithmetic number, because the mean of its divisors is an integer number (2518656).

Almost surely, 281340644 is an apocalyptic number.

81340644 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81340644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120895488).

81340644 is an abundant number, since it is smaller than the sum of its proper divisors (160450332).

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

81340644 is a wasteful number, since it uses less digits than its factorization.

81340644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 81340644 is about 9018.9048115611. The cubic root of 81340644 is about 433.2805582014.

It can be divided in two parts, 813406 and 44, that added together give a triangular number (813450 = T1275).

The spelling of 81340644 in words is "eighty-one million, three hundred forty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 47 66 77 84 94 132 141 154 188 231 282 308 329 462 517 564 658 924 987 1034 1316 1551 1873 1974 2068 3102 3619 3746 3948 5619 6204 7238 7492 10857 11238 13111 14476 20603 21714 22476 26222 39333 41206 43428 52444 61809 78666 82412 88031 123618 144221 157332 176062 247236 264093 288442 352124 432663 528186 576884 616217 865326 968341 1056372 1232434 1730652 1848651 1936682 2464868 2905023 3697302 3873364 5810046 6778387 7394604 11620092 13556774 20335161 27113548 40670322 81340644