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74134200 = 23352719929
BaseRepresentation
bin1000110101100…
…11001010111000
312011111102000010
410122303022320
5122434243300
611204541520
71560062460
oct432631270
9164442003
1074134200
1138935138
12209b18a0
13124884ba
149bbaba0
156795a50
hex46b32b8

74134200 has 192 divisors, whose sum is σ = 276768000. Its totient is φ = 16035840.

The previous prime is 74134183. The next prime is 74134211. The reversal of 74134200 is 243147.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 79336 + ... + 80264.

It is an arithmetic number, because the mean of its divisors is an integer number (1441500).

Almost surely, 274134200 is an apocalyptic number.

74134200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138384000).

74134200 is an abundant number, since it is smaller than the sum of its proper divisors (202633800).

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

74134200 is a wasteful number, since it uses less digits than its factorization.

74134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 74134200 is about 8610.1219503559. The cubic root of 74134200 is about 420.0872834470.

Adding to 74134200 its reverse (243147), we get a palindrome (74377347).

The spelling of 74134200 in words is "seventy-four million, one hundred thirty-four thousand, two hundred".