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74137338 = 232112331607
BaseRepresentation
bin1000110101100…
…11111011111010
312011111120022100
410122303323322
5122434343323
611205004230
71560104562
oct432637372
9164446270
1074137338
1138937530
12209b3676
1312489a62
149bbbda2
156796943
hex46b3efa

74137338 has 48 divisors (see below), whose sum is σ = 176095296. Its totient is φ = 22355520.

The previous prime is 74137321. The next prime is 74137361. The reversal of 74137338 is 83373147.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45331 + ... + 46937.

It is an arithmetic number, because the mean of its divisors is an integer number (3668652).

Almost surely, 274137338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74137338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88047648).

74137338 is an abundant number, since it is smaller than the sum of its proper divisors (101957958).

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

74137338 is a wasteful number, since it uses less digits than its factorization.

74137338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1856 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 74137338 is about 8610.3041758117. The cubic root of 74137338 is about 420.0932106048.

The spelling of 74137338 in words is "seventy-four million, one hundred thirty-seven thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 233 466 699 1398 1607 2097 2563 3214 4194 4821 5126 7689 9642 14463 15378 17677 23067 28926 35354 46134 53031 106062 159093 318186 374431 748862 1123293 2246586 3369879 4118741 6739758 8237482 12356223 24712446 37068669 74137338