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74340224 = 277292861
BaseRepresentation
bin1000110111001…
…01011110000000
312011212212121122
410123211132000
5123012341344
611213211412
71561611230
oct433453600
9164785548
1074340224
1138a65a02
1220a90b68
131252b1ca
149c31cc0
1567d6aee
hex46e5780

74340224 has 64 divisors (see below), whose sum is σ = 175154400. Its totient is φ = 30750720.

The previous prime is 74340223. The next prime is 74340241. The reversal of 74340224 is 42204347.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 74340193 and 74340202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74340223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24554 + ... + 27414.

Almost surely, 274340224 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 74340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87577200).

74340224 is an abundant number, since it is smaller than the sum of its proper divisors (100814176).

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

74340224 is a wasteful number, since it uses less digits than its factorization.

74340224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

The square root of 74340224 is about 8622.0777078382. The cubic root of 74340224 is about 420.4760739185.

The spelling of 74340224 in words is "seventy-four million, three hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1624 1856 2861 3248 3712 5722 6496 11444 12992 20027 22888 25984 40054 45776 80108 82969 91552 160216 165938 183104 320432 331876 366208 580783 640864 663752 1161566 1281728 1327504 2323132 2563456 2655008 4646264 5310016 9292528 10620032 18585056 37170112 74340224