Search a number
-
+
74240936 = 23711191631
BaseRepresentation
bin1000110110011…
…01001110101000
312011200211102022
410123031032220
5123001202221
611211124012
71561015610
oct433151650
9164624368
1074240936
11389a8350
1220a43608
13124c4c63
149c07a40
1567b74ab
hex46cd3a8

74240936 has 64 divisors (see below), whose sum is σ = 174735360. Its totient is φ = 28728000.

The previous prime is 74240911. The next prime is 74240953. The reversal of 74240936 is 63904247.

It is a junction number, because it is equal to n+sod(n) for n = 74240896 and 74240905.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 117341 + ... + 117971.

It is an arithmetic number, because the mean of its divisors is an integer number (2730240).

Almost surely, 274240936 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 74240936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87367680).

74240936 is an abundant number, since it is smaller than the sum of its proper divisors (100494424).

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

74240936 is a wasteful number, since it uses less digits than its factorization.

74240936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 74240936 is about 8616.3180071304. The cubic root of 74240936 is about 420.2887960845.

The spelling of 74240936 in words is "seventy-four million, two hundred forty thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 191 308 382 616 631 764 1262 1337 1528 2101 2524 2674 4202 4417 5048 5348 6941 8404 8834 10696 13882 14707 16808 17668 27764 29414 35336 48587 55528 58828 97174 117656 120521 194348 241042 388696 482084 843647 964168 1325731 1687294 2651462 3374588 5302924 6749176 9280117 10605848 18560234 37120468 74240936