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274438164 = 2237112133167
BaseRepresentation
bin10000010110111…
…001100000010100
3201010101220101110
4100112321200110
51030224010124
643122055020
76541454160
oct2026714024
9633356343
10274438164
11130a05500
1277aaa470
1344b1ac60
142863bca0
1519160029
hex105b9814

274438164 has 288 divisors, whose sum is σ = 907583488. Its totient is φ = 62726400.

The previous prime is 274438163. The next prime is 274438189. The reversal of 274438164 is 461834472.

It is a super-3 number, since 3×2744381643 (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274438163) 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 95 ways as a sum of consecutive naturals, for example, 4096059 + ... + 4096125.

Almost surely, 2274438164 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 274438164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453791744).

274438164 is an abundant number, since it is smaller than the sum of its proper divisors (633145324).

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

274438164 is a wasteful number, since it uses less digits than its factorization.

274438164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 274438164 is about 16566.1752978773. The cubic root of 274438164 is about 649.8525614310.

274438164 divided by its sum of digits (39) gives a triangular number (7036876 = T3751).

The spelling of 274438164 in words is "two hundred seventy-four million, four hundred thirty-eight thousand, one hundred sixty-four".