Search a number
-
+
74503314 = 235413739
BaseRepresentation
bin1000111000011…
…01010010010010
312012012011100000
410130031102102
5123033101224
611220510430
71563160554
oct434152222
9165164300
1074503314
1139067496
1220b4b416
1312587502
149c754d4
15681a0c9
hex470d492

74503314 has 48 divisors (see below), whose sum is σ = 171531360. Its totient is φ = 24222240.

The previous prime is 74503307. The next prime is 74503327. The reversal of 74503314 is 41330547.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18057 + ... + 21795.

It is an arithmetic number, because the mean of its divisors is an integer number (3573570).

Almost surely, 274503314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74503314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85765680).

74503314 is an abundant number, since it is smaller than the sum of its proper divisors (97028046).

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

74503314 is a wasteful number, since it uses less digits than its factorization.

74503314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797 (or 3785 counting only the distinct ones).

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

The square root of 74503314 is about 8631.5302235467. The cubic root of 74503314 is about 420.7833340287.

The spelling of 74503314 in words is "seventy-four million, five hundred three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 738 1107 2214 3321 3739 6642 7478 9963 11217 19926 22434 33651 67302 100953 153299 201906 302859 306598 459897 605718 908577 919794 1379691 1817154 2759382 4139073 8278146 12417219 24834438 37251657 74503314