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274313952 = 2536111069
BaseRepresentation
bin10000010110011…
…011001011100000
3201010011121000000
4100112123023200
51030211021302
643115300000
76540426063
oct2026331340
9633147000
10274313952
11130930150
1277a4a600
1344aa6563
14286088da
151913831c
hex1059b2e0

274313952 has 168 divisors, whose sum is σ = 884149560. Its totient is φ = 83047680.

The previous prime is 274313927. The next prime is 274313953. The reversal of 274313952 is 259313472.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274313953) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 256074 + ... + 257142.

It is an arithmetic number, because the mean of its divisors is an integer number (5262795).

Almost surely, 2274313952 is an apocalyptic number.

274313952 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 274313952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442074780).

274313952 is an abundant number, since it is smaller than the sum of its proper divisors (609835608).

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

274313952 is a wasteful number, since it uses less digits than its factorization.

274313952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1085 counting only the distinct ones).

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

The square root of 274313952 is about 16562.4259092682. The cubic root of 274313952 is about 649.7545045303.

The spelling of 274313952 in words is "two hundred seventy-four million, three hundred thirteen thousand, nine hundred fifty-two".