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74345985 = 3357211239
BaseRepresentation
bin1000110111001…
…10111000000001
312011220011112000
410123212320001
5123013032420
611213254213
71561634100
oct433467001
9164804460
1074345985
1138a6a26a
1220a94369
1312530a0c
149c34037
1567d8690
hex46e6e01

74345985 has 48 divisors (see below), whose sum is σ = 153763200. Its totient is φ = 33983712.

The previous prime is 74345911. The next prime is 74345989. The reversal of 74345985 is 58954347.

It is not a de Polignac number, because 74345985 - 27 = 74345857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 74345985.

It is not an unprimeable number, because it can be changed into a prime (74345989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 996 + ... + 12234.

It is an arithmetic number, because the mean of its divisors is an integer number (3203400).

Almost surely, 274345985 is an apocalyptic number.

It is an amenable number.

74345985 is an abundant number, since it is smaller than the sum of its proper divisors (79417215).

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

74345985 is a wasteful number, since it uses less digits than its factorization.

74345985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11267 (or 11254 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 74345985 is about 8622.4117855737. The cubic root of 74345985 is about 420.4869352439.

The spelling of 74345985 in words is "seventy-four million, three hundred forty-five thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 6615 11239 33717 56195 78673 101151 168585 236019 303453 393365 505755 550711 708057 1180095 1517265 1652133 2124171 2753555 3540285 4956399 8260665 10620855 14869197 24781995 74345985