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3074400 = 253252761
BaseRepresentation
bin1011101110100101100000
312210012021200
423232211200
51241340100
6145521200
735063160
oct13564540
95705250
103074400
11180a92a
121043200
13838494
145a05a0
1540ae00
hex2ee960

3074400 has 216 divisors, whose sum is σ = 12592944. Its totient is φ = 691200.

The previous prime is 3074389. The next prime is 3074413. The reversal of 3074400 is 44703.

3074400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 50370 + ... + 50430.

Almost surely, 23074400 is an apocalyptic number.

3074400 is a gapful number since it is divisible by the number (30) 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 3074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6296472).

3074400 is an abundant number, since it is smaller than the sum of its proper divisors (9518544).

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

3074400 is a wasteful number, since it uses less digits than its factorization.

3074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3074400 is about 1753.3967035443. The cubic root of 3074400 is about 145.4074942514.

The spelling of 3074400 in words is "three million, seventy-four thousand, four hundred".