Search a number
-
+
74390400 = 273452741
BaseRepresentation
bin1000110111100…
…01101110000000
312011222102110000
410123301232000
5123020443100
611214240000
71562210430
oct433615600
9164872400
1074390400
1138a9a677
1220ab6000
1312547cb6
149c462c0
1567e6900
hex46f1b80

74390400 has 480 divisors, whose sum is σ = 321385680. Its totient is φ = 16588800.

The previous prime is 74390399. The next prime is 74390401. The reversal of 74390400 is 409347.

It is an interprime number because it is at equal distance from previous prime (74390399) and next prime (74390401).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×743904002 = 11067863224320000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74390401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1814380 + ... + 1814420.

Almost surely, 274390400 is an apocalyptic number.

74390400 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 74390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160692840).

74390400 is an abundant number, since it is smaller than the sum of its proper divisors (246995280).

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

74390400 is a wasteful number, since it uses less digits than its factorization.

74390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 74390400 is about 8624.9869565119. The cubic root of 74390400 is about 420.5706528757.

Adding to 74390400 its reverse (409347), we get a palindrome (74799747).

The spelling of 74390400 in words is "seventy-four million, three hundred ninety thousand, four hundred".