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214334040 = 23351786117
BaseRepresentation
bin11001100011001…
…11101001011000
3112221022022000210
430301213221120
5414332142130
633133531120
75211544404
oct1461475130
9487268023
10214334040
11aaa93378
125b943aa0
133553579b
1420674104
1513c3b5b0
hexcc67a58

214334040 has 32 divisors (see below), whose sum is σ = 643002480. Its totient is φ = 57155712.

The previous prime is 214334017. The next prime is 214334069. The reversal of 214334040 is 40433412.

214334040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214333998 and 214334016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 892939 + ... + 893178.

Almost surely, 2214334040 is an apocalyptic number.

214334040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214334040 is an abundant number, since it is smaller than the sum of its proper divisors (428668440).

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

214334040 is a wasteful number, since it uses less digits than its factorization.

214334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786131 (or 1786127 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 214334040 is about 14640.1516385589. The cubic root of 214334040 is about 598.4534615676.

Adding to 214334040 its reverse (40433412), we get a palindrome (254767452).

The spelling of 214334040 in words is "two hundred fourteen million, three hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1786117 3572234 5358351 7144468 8930585 10716702 14288936 17861170 21433404 26791755 35722340 42866808 53583510 71444680 107167020 214334040