Search a number
-
+
74363400 = 23335247293
BaseRepresentation
bin1000110111010…
…11001000001000
312011221001102000
410123223020020
5123014112100
611213511000
71562035626
oct433531010
9164831360
1074363400
1138a81361
1220aa2460
1312538917
149c3a516
1567dd900
hex46eb208

74363400 has 192 divisors, whose sum is σ = 262483200. Its totient is φ = 19342080.

The previous prime is 74363369. The next prime is 74363407. The reversal of 74363400 is 436347.

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

It is not an unprimeable number, because it can be changed into a prime (74363407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 253654 + ... + 253946.

It is an arithmetic number, because the mean of its divisors is an integer number (1367100).

Almost surely, 274363400 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 74363400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

74363400 is an abundant number, since it is smaller than the sum of its proper divisors (188119800).

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

74363400 is a wasteful number, since it uses less digits than its factorization.

74363400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 74363400 is about 8623.4215947036. The cubic root of 74363400 is about 420.5197646710.

Adding to 74363400 its reverse (436347), we get a palindrome (74799747).

The spelling of 74363400 in words is "seventy-four million, three hundred sixty-three thousand, four hundred".