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74340 = 22325759
BaseRepresentation
bin10010001001100100
310202222100
4102021210
54334330
61332100
7426510
oct221144
9122870
1074340
1150942
1237030
1327ab6
141d140
1517060
hex12264

74340 has 72 divisors (see below), whose sum is σ = 262080. Its totient is φ = 16704.

The previous prime is 74323. The next prime is 74353. The reversal of 74340 is 4347.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 8.

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, 1231 + ... + 1289.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

274340 is an apocalyptic number.

74340 is a gapful number since it is divisible by the number (70) 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 74340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040).

74340 is an abundant number, since it is smaller than the sum of its proper divisors (187740).

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

74340 is a wasteful number, since it uses less digits than its factorization.

74340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 74340 is about 272.6536264200. The cubic root of 74340 is about 42.0475651596.

Adding to 74340 its reverse (4347), we get a palindrome (78687).

It can be divided in two parts, 74 and 340, that added together give a palindrome (414).

The spelling of 74340 in words is "seventy-four thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 59 60 63 70 84 90 105 118 126 140 177 180 210 236 252 295 315 354 413 420 531 590 630 708 826 885 1062 1180 1239 1260 1652 1770 2065 2124 2478 2655 3540 3717 4130 4956 5310 6195 7434 8260 10620 12390 14868 18585 24780 37170 74340