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74042336 = 2523293469
BaseRepresentation
bin1000110100111…
…00101111100000
312011022201222202
410122130233200
5122423323321
611202552332
71556230604
oct432345740
9164281882
1074042336
1138882115
12209686a8
1312455744
149b95504
15677870b
hex469cbe0

74042336 has 48 divisors (see below), whose sum is σ = 157399200. Its totient is φ = 34180608.

The previous prime is 74042333. The next prime is 74042357. The reversal of 74042336 is 63324047.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 74042299 and 74042308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74042333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19610 + ... + 23078.

It is an arithmetic number, because the mean of its divisors is an integer number (3279150).

Almost surely, 274042336 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 74042336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78699600).

74042336 is an abundant number, since it is smaller than the sum of its proper divisors (83356864).

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

74042336 is a wasteful number, since it uses less digits than its factorization.

74042336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 74042336 is about 8604.7856452093. The cubic root of 74042336 is about 419.9136935282.

The spelling of 74042336 in words is "seventy-four million, forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 23 29 32 46 58 92 116 184 232 368 464 667 736 928 1334 2668 3469 5336 6938 10672 13876 21344 27752 55504 79787 100601 111008 159574 201202 319148 402404 638296 804808 1276592 1609616 2313823 2553184 3219232 4627646 9255292 18510584 37021168 74042336