Search a number
-
+
74401356 = 22329673191
BaseRepresentation
bin1000110111101…
…00011001001100
312011222222110210
410123310121030
5123021320411
611214402420
71562254401
oct433643114
9164888423
1074401356
1138aa7927
1220b00410
131254cc93
149c4a2a8
1567e9ca6
hex46f464c

74401356 has 48 divisors (see below), whose sum is σ = 182327040. Its totient is φ = 23580480.

The previous prime is 74401351. The next prime is 74401361. The reversal of 74401356 is 65310447.

It is an interprime number because it is at equal distance from previous prime (74401351) and next prime (74401361).

It is not an unprimeable number, because it can be changed into a prime (74401351) 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 15 ways as a sum of consecutive naturals, for example, 21721 + ... + 24911.

It is an arithmetic number, because the mean of its divisors is an integer number (3798480).

Almost surely, 274401356 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 74401356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91163520).

74401356 is an abundant number, since it is smaller than the sum of its proper divisors (107925684).

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

74401356 is a wasteful number, since it uses less digits than its factorization.

74401356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 74401356 is about 8625.6220645238. The cubic root of 74401356 is about 420.5912986664.

Subtracting from 74401356 its reverse (65310447), we obtain a palindrome (9090909).

The spelling of 74401356 in words is "seventy-four million, four hundred one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 29 58 67 87 116 134 174 201 268 348 402 804 1943 3191 3886 5829 6382 7772 9573 11658 12764 19146 23316 38292 92539 185078 213797 277617 370156 427594 555234 641391 855188 1110468 1282782 2565564 6200113 12400226 18600339 24800452 37200678 74401356