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164412312 = 23337185149
BaseRepresentation
bin10011100110010…
…11101110011000
3102110101000021220
421303023232120
5314042143222
624151532040
74034324121
oct1163135630
9373330256
10164412312
1184896449
124708a020
13280a6bbc
1417b9b048
15e679b5c
hex9ccbb98

164412312 has 32 divisors (see below), whose sum is σ = 422142000. Its totient is φ = 53322624.

The previous prime is 164412289. The next prime is 164412317. The reversal of 164412312 is 213214461.

It is a super-3 number, since 3×1644123123 (a number of 26 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (164412317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91687 + ... + 93462.

Almost surely, 2164412312 is an apocalyptic number.

164412312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164412312 is an abundant number, since it is smaller than the sum of its proper divisors (257729688).

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

164412312 is a wasteful number, since it uses less digits than its factorization.

164412312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185195 (or 185191 counting only the distinct ones).

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

The square root of 164412312 is about 12822.3364485573. The cubic root of 164412312 is about 547.8286977671.

Adding to 164412312 its reverse (213214461), we get a palindrome (377626773).

The spelling of 164412312 in words is "one hundred sixty-four million, four hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 185149 370298 555447 740596 1110894 1481192 2221788 4443576 6850513 13701026 20551539 27402052 41103078 54804104 82206156 164412312