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336400 = 2452292
BaseRepresentation
bin1010010001000010000
3122002110021
41102020100
541231100
611113224
72600521
oct1221020
9562407
10336400
1120a819
12142814
13ba16c
148a848
1569a1a
hex52210

336400 has 45 divisors (see below), whose sum is σ = 837031. Its totient is φ = 129920.

The previous prime is 336397. The next prime is 336403. The reversal of 336400 is 4633.

It is a happy number.

The square root of 336400 is 580.

It is a perfect power (a square), and thus also a powerful number.

336400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (336397) and next prime (336403).

It can be written as a sum of positive squares in 4 ways, for example, as 4624 + 331776 = 68^2 + 576^2 .

It is a super-2 number, since 2×3364002 = 226329920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (336403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11586 + ... + 11614.

2336400 is an apocalyptic number.

336400 is the 580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336400

336400 is an abundant number, since it is smaller than the sum of its proper divisors (500631).

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

336400 is a wasteful number, since it uses less digits than its factorization.

336400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The cubic root of 336400 is about 69.5481094706.

Multiplying 336400 by its sum of digits (16), we get a square (5382400 = 23202).

336400 divided by its sum of digits (16) gives a square (21025 = 1452).

The spelling of 336400 in words is "three hundred thirty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 841 1160 1450 1682 2320 2900 3364 4205 5800 6728 8410 11600 13456 16820 21025 33640 42050 67280 84100 168200 336400