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641412312 = 2331710315263
BaseRepresentation
bin100110001110110…
…010110011011000
31122200221010021120
4212032302303120
52303200143222
6143351405240
721615625512
oct4616626330
91580833246
10641412312
112aa073622
1215a983820
13a2b68218
1461286bb2
153b49d15c
hex263b2cd8

641412312 has 64 divisors (see below), whose sum is σ = 1714452480. Its totient is φ = 199260672.

The previous prime is 641412301. The next prime is 641412341. The reversal of 641412312 is 213214146.

641412312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6414123122 = 822819507970370688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34393 + ... + 49655.

It is an arithmetic number, because the mean of its divisors is an integer number (26788320).

Almost surely, 2641412312 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 641412312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857226240).

641412312 is an abundant number, since it is smaller than the sum of its proper divisors (1073040168).

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

641412312 is a wasteful number, since it uses less digits than its factorization.

641412312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15392 (or 15388 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 641412312 is about 25326.1191657940. The cubic root of 641412312 is about 862.4073132074.

Adding to 641412312 its reverse (213214146), we get a palindrome (854626458).

The spelling of 641412312 in words is "six hundred forty-one million, four hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 103 136 204 206 309 408 412 618 824 1236 1751 2472 3502 5253 7004 10506 14008 15263 21012 30526 42024 45789 61052 91578 122104 183156 259471 366312 518942 778413 1037884 1556826 1572089 2075768 3113652 3144178 4716267 6227304 6288356 9432534 12576712 18865068 26725513 37730136 53451026 80176539 106902052 160353078 213804104 320706156 641412312