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74468352 = 210373463
BaseRepresentation
bin1000111000001…
…00110000000000
312012010101101010
410130010300000
5123030441402
611220040520
71562653620
oct434046000
9165111333
1074468352
11390431a2
1220b33140
131257461a
149c66880
15680ea6c
hex4704c00

74468352 has 88 divisors (see below), whose sum is σ = 226905856. Its totient is φ = 21270528.

The previous prime is 74468333. The next prime is 74468357. The reversal of 74468352 is 25386447.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 74468352.

It is not an unprimeable number, because it can be changed into a prime (74468357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19773 + ... + 23235.

Almost surely, 274468352 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 74468352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113452928).

74468352 is an abundant number, since it is smaller than the sum of its proper divisors (152437504).

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

74468352 is a wasteful number, since it uses less digits than its factorization.

74468352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493 (or 3475 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 74468352 is about 8629.5047366578. The cubic root of 74468352 is about 420.7175037189.

It can be divided in two parts, 744 and 68352, that added together give a palindrome (69096).

The spelling of 74468352 in words is "seventy-four million, four hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3463 3584 5376 6926 7168 10389 10752 13852 20778 21504 24241 27704 41556 48482 55408 72723 83112 96964 110816 145446 166224 193928 221632 290892 332448 387856 443264 581784 664896 775712 886528 1163568 1329792 1551424 1773056 2327136 2659584 3102848 3546112 4654272 5319168 6205696 9308544 10638336 12411392 18617088 24822784 37234176 74468352