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274393152 = 263211231127
BaseRepresentation
bin10000010110101…
…110100001000000
3201010022121122100
4100112232201000
51030221040102
643121110400
76541206015
oct2026564100
9633277570
10274393152
11130984700
1277a88400
1344b03617
142862970c
1519151a1c
hex105ae840

274393152 has 252 divisors, whose sum is σ = 899411968. Its totient is φ = 79833600.

The previous prime is 274393127. The next prime is 274393159. The reversal of 274393152 is 251393472.

274393152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (274393159) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2160513 + ... + 2160639.

Almost surely, 2274393152 is an apocalyptic number.

274393152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274393152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449705984).

274393152 is an abundant number, since it is smaller than the sum of its proper divisors (625018816).

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

274393152 is a wasteful number, since it uses less digits than its factorization.

274393152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 174 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 274393152 is about 16564.8166908058. The cubic root of 274393152 is about 649.8170309465.

The spelling of 274393152 in words is "two hundred seventy-four million, three hundred ninety-three thousand, one hundred fifty-two".