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214311344 = 24133113313
BaseRepresentation
bin11001100011000…
…10000110110000
3112221021010220012
430301202012300
5414330430334
633133234052
75211421262
oct1461420660
9487233805
10214311344
11aaa78315
125b932928
1335528360
1420669b32
1513c349ce
hexcc621b0

214311344 has 40 divisors (see below), whose sum is σ = 448742112. Its totient is φ = 98565120.

The previous prime is 214311341. The next prime is 214311347. The reversal of 214311344 is 443113412.

It is an interprime number because it is at equal distance from previous prime (214311341) and next prime (214311347).

It is not an unprimeable number, because it can be changed into a prime (214311341) 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 7 ways as a sum of consecutive naturals, for example, 63032 + ... + 66344.

Almost surely, 2214311344 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 214311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224371056).

214311344 is an abundant number, since it is smaller than the sum of its proper divisors (234430768).

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

214311344 is a wasteful number, since it uses less digits than its factorization.

214311344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645 (or 3639 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 214311344 is about 14639.3764894547. The cubic root of 214311344 is about 598.4323372527.

Adding to 214311344 its reverse (443113412), we get a palindrome (657424756).

The spelling of 214311344 in words is "two hundred fourteen million, three hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 311 622 1244 2488 3313 4043 4976 6626 8086 13252 16172 26504 32344 43069 53008 64688 86138 172276 344552 689104 1030343 2060686 4121372 8242744 13394459 16485488 26788918 53577836 107155672 214311344