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332274240 = 263251131021
BaseRepresentation
bin10011110011100…
…001101001000000
3212011020021120100
4103303201221000
51140030233430
652545442400
711143166364
oct2363415100
9764207510
10332274240
11160618611
1293340400
1353abac9c
14321b52a4
151e286960
hex13ce1a40

332274240 has 168 divisors, whose sum is σ = 1154128248. Its totient is φ = 87736320.

The previous prime is 332274221. The next prime is 332274247. The reversal of 332274240 is 42472233.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 331822656 = 672^2 + 18216^2 .

It is a super-2 number, since 2×3322742402 = 220812341135155200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332274247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324930 + ... + 325950.

It is an arithmetic number, because the mean of its divisors is an integer number (6869811).

Almost surely, 2332274240 is an apocalyptic number.

332274240 is a gapful number since it is divisible by the number (30) 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 332274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577064124).

332274240 is an abundant number, since it is smaller than the sum of its proper divisors (821854008).

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

332274240 is a wasteful number, since it uses less digits than its factorization.

332274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 332274240 is about 18228.3910425468. The cubic root of 332274240 is about 692.6261609431.

The spelling of 332274240 in words is "three hundred thirty-two million, two hundred seventy-four thousand, two hundred forty".