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340213300 = 225273731303
BaseRepresentation
bin10100010001110…
…011111000110100
3212201011121220121
4110101303320310
51144043311200
653431541324
711300523340
oct2421637064
9781147817
10340213300
11165050319
1295b2a844
135563a75b
1433280620
151ed03e1a
hex14473e34

340213300 has 72 divisors (see below), whose sum is σ = 846640256. Its totient is φ = 116242560.

The previous prime is 340213271. The next prime is 340213301. The reversal of 340213300 is 3312043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340213301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260449 + ... + 261751.

Almost surely, 2340213300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423320128).

340213300 is an abundant number, since it is smaller than the sum of its proper divisors (506426956).

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

340213300 is a wasteful number, since it uses less digits than its factorization.

340213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1690 counting only the distinct ones).

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

The square root of 340213300 is about 18444.8719160638. The cubic root of 340213300 is about 698.0991285118.

Adding to 340213300 its reverse (3312043), we get a palindrome (343525343).

The spelling of 340213300 in words is "three hundred forty million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 373 700 746 1303 1492 1865 2606 2611 3730 5212 5222 6515 7460 9121 9325 10444 13030 13055 18242 18650 26060 26110 32575 36484 37300 45605 52220 65150 65275 91210 130300 130550 182420 228025 261100 456050 486019 912100 972038 1944076 2430095 3402133 4860190 6804266 9720380 12150475 13608532 17010665 24300950 34021330 48601900 68042660 85053325 170106650 340213300