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74446344 = 2333753929
BaseRepresentation
bin1000110111111…
…11011000001000
312012002021012000
410123333120020
5123024240334
611215351000
71562532510
oct433773010
9165067160
1074446344
1139028705
1220b22460
13125675bb
149c5c840
156808299
hex46ff608

74446344 has 128 divisors (see below), whose sum is σ = 241056000. Its totient is φ = 20846592.

The previous prime is 74446343. The next prime is 74446369. The reversal of 74446344 is 44364447.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 74446299 and 74446308.

It is not an unprimeable number, because it can be changed into a prime (74446343) 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, 79672 + ... + 80600.

It is an arithmetic number, because the mean of its divisors is an integer number (1883250).

Almost surely, 274446344 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 74446344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120528000).

74446344 is an abundant number, since it is smaller than the sum of its proper divisors (166609656).

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

74446344 is a wasteful number, since it uses less digits than its factorization.

74446344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 994 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 74446344 is about 8628.2294823446. The cubic root of 74446344 is about 420.6760540611.

The spelling of 74446344 in words is "seventy-four million, four hundred forty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 84 106 108 126 159 168 189 212 216 252 318 371 378 424 477 504 636 742 756 929 954 1113 1272 1431 1484 1512 1858 1908 2226 2787 2862 2968 3339 3716 3816 4452 5574 5724 6503 6678 7432 8361 8904 10017 11148 11448 13006 13356 16722 19509 20034 22296 25083 26012 26712 33444 39018 40068 49237 50166 52024 58527 66888 78036 80136 98474 100332 117054 147711 156072 175581 196948 200664 234108 295422 344659 351162 393896 443133 468216 590844 689318 702324 886266 1033977 1181688 1329399 1378636 1404648 1772532 2067954 2658798 2757272 3101931 3545064 4135908 5317596 6203862 8271816 9305793 10635192 12407724 18611586 24815448 37223172 74446344