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74312352 = 25321631583
BaseRepresentation
bin1000110110111…
…10101010100000
312011211110101100
410123132222200
5123010443402
611212434400
71561434042
oct433365240
9164743340
1074312352
1138a46a74
1220a78a00
131251b60a
149c25a92
1567cd71c
hex46deaa0

74312352 has 72 divisors (see below), whose sum is σ = 212756544. Its totient is φ = 24603264.

The previous prime is 74312351. The next prime is 74312383. The reversal of 74312352 is 25321347.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (74312351) 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 11 ways as a sum of consecutive naturals, for example, 46153 + ... + 47735.

It is an arithmetic number, because the mean of its divisors is an integer number (2954952).

Almost surely, 274312352 is an apocalyptic number.

74312352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74312352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106378272).

74312352 is an abundant number, since it is smaller than the sum of its proper divisors (138444192).

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

74312352 is a wasteful number, since it uses less digits than its factorization.

74312352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1751 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 74312352 is about 8620.4612405602. The cubic root of 74312352 is about 420.4235183685.

Adding to 74312352 its reverse (25321347), we get a palindrome (99633699).

The spelling of 74312352 in words is "seventy-four million, three hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 163 288 326 489 652 978 1304 1467 1583 1956 2608 2934 3166 3912 4749 5216 5868 6332 7824 9498 11736 12664 14247 15648 18996 23472 25328 28494 37992 46944 50656 56988 75984 113976 151968 227952 258029 455904 516058 774087 1032116 1548174 2064232 2322261 3096348 4128464 4644522 6192696 8256928 9289044 12385392 18578088 24770784 37156176 74312352