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274000320 = 2634511312
BaseRepresentation
bin10000010101001…
…110100111000000
3201002120122210000
4100111032213000
51030121002240
643104440000
76534651516
oct2025164700
9632518700
10274000320
11130736550
1277919000
13449c6889
14285664b6
15190c5430
hex1054e9c0

274000320 has 420 divisors, whose sum is σ = 1098679032. Its totient is φ = 64281600.

The previous prime is 274000313. The next prime is 274000327. The reversal of 274000320 is 23000472.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (274000313) and next prime (274000327).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 274000293 and 274000302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274000327) 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 59 ways as a sum of consecutive naturals, for example, 8838705 + ... + 8838735.

Almost surely, 2274000320 is an apocalyptic number.

274000320 is a gapful number since it is divisible by the number (20) 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 274000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549339516).

274000320 is an abundant number, since it is smaller than the sum of its proper divisors (824678712).

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

274000320 is a wasteful number, since it uses less digits than its factorization.

274000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 274000320 is about 16552.9550231975. The cubic root of 274000320 is about 649.5067816604.

Adding to 274000320 its reverse (23000472), we get a palindrome (297000792).

The spelling of 274000320 in words is "two hundred seventy-four million, three hundred twenty", and thus it is an aban number.