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1240346214 = 2321713729587
BaseRepresentation
bin100100111101110…
…0010111001100110
310012102221010010200
41021323202321212
510020012034324
6323024531330
742510524502
oct11173427146
93172833120
101240346214
11587163518
122a7480b46
13169c7c793
14baa33302
1573d59ec9
hex49ee2e66

1240346214 has 48 divisors (see below), whose sum is σ = 2866367088. Its totient is φ = 386274816.

The previous prime is 1240346209. The next prime is 1240346221. The reversal of 1240346214 is 4126430421.

It is a happy number.

1240346214 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 34 + 621 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27129 + ... + 56715.

It is an arithmetic number, because the mean of its divisors is an integer number (59715981).

Almost surely, 21240346214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1240346214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433183544).

1240346214 is an abundant number, since it is smaller than the sum of its proper divisors (1626020874).

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

1240346214 is a wasteful number, since it uses less digits than its factorization.

1240346214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29749 (or 29746 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1240346214 is about 35218.5492886916. The cubic root of 1240346214 is about 1074.4370483877.

Adding to 1240346214 its reverse (4126430421), we get a palindrome (5366776635).

The spelling of 1240346214 in words is "one billion, two hundred forty million, three hundred forty-six thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 137 153 274 306 411 822 1233 2329 2466 4658 6987 13974 20961 29587 41922 59174 88761 177522 266283 502979 532566 1005958 1508937 3017874 4053419 4526811 8106838 9053622 12160257 24320514 36480771 68908123 72961542 137816246 206724369 413448738 620173107 1240346214