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81342440 = 2357389313
BaseRepresentation
bin1001101100100…
…10111111101000
312200001121211222
410312102333220
5131310424230
612023241212
72005253654
oct466227750
9180047758
1081342440
1141a08863
12232a9208
1313b1042a
14ab35a64
15721b6e5
hex4d92fe8

81342440 has 64 divisors (see below), whose sum is σ = 188211600. Its totient is φ = 31629312.

The previous prime is 81342431. The next prime is 81342451. The reversal of 81342440 is 4424318.

It can be written as a sum of positive squares in 8 ways, for example, as 4218916 + 77123524 = 2054^2 + 8782^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259724 + ... + 260036.

Almost surely, 281342440 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 81342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94105800).

81342440 is an abundant number, since it is smaller than the sum of its proper divisors (106869160).

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

81342440 is a wasteful number, since it uses less digits than its factorization.

81342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 81342440 is about 9019.0043796419. The cubic root of 81342440 is about 433.2837471203.

Adding to 81342440 its reverse (4424318), we get a palindrome (85766758).

The spelling of 81342440 in words is "eighty-one million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 89 146 178 292 313 356 365 445 584 626 712 730 890 1252 1460 1565 1780 2504 2920 3130 3560 6260 6497 12520 12994 22849 25988 27857 32485 45698 51976 55714 64970 91396 111428 114245 129940 139285 182792 222856 228490 259880 278570 456980 557140 913960 1114280 2033561 4067122 8134244 10167805 16268488 20335610 40671220 81342440