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74094400 = 265246309
BaseRepresentation
bin1000110101010…
…01011101000000
312011102101102001
410122221131000
5122432010100
611204033344
71556535442
oct432513500
9164371361
1074094400
1138908246
1220992854
1312473353
149baa492
156788d6a
hex46a9740

74094400 has 42 divisors (see below), whose sum is σ = 182322470. Its totient is φ = 29637120.

The previous prime is 74094379. The next prime is 74094407. The reversal of 74094400 is 449047.

It can be written as a sum of positive squares in 3 ways, for example, as 12503296 + 61591104 = 3536^2 + 7848^2 .

It is a super-2 number, since 2×740944002 = 10979960222720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74094407) 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 5 ways as a sum of consecutive naturals, for example, 21555 + ... + 24754.

Almost surely, 274094400 is an apocalyptic number.

It is an amenable number.

74094400 is an abundant number, since it is smaller than the sum of its proper divisors (108228070).

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

74094400 is a wasteful number, since it uses less digits than its factorization.

74094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46331 (or 46316 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 74094400 is about 8607.8104068340. The cubic root of 74094400 is about 420.0120933782.

The spelling of 74094400 in words is "seventy-four million, ninety-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 46309 92618 185236 231545 370472 463090 740944 926180 1157725 1481888 1852360 2315450 2963776 3704720 4630900 7409440 9261800 14818880 18523600 37047200 74094400