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334248768 = 2634761151
BaseRepresentation
bin10011111011000…
…011101101000000
3212021221121010000
4103323003231000
51141031430033
653100040000
711166032130
oct2373035500
9767847100
10334248768
11161747057
1293b33000
135432c949
143256aac0
151e526a13
hex13ec3b40

334248768 has 280 divisors, whose sum is σ = 1158548864. Its totient is φ = 93312000.

The previous prime is 334248767. The next prime is 334248821. The reversal of 334248768 is 867842433.

334248768 is a `hidden beast` number, since 334 + 248 + 76 + 8 = 666.

334248768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3342487682 = 223444477819035648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (774144) is a multiple of the sum of its prime divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334248767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2213493 + ... + 2213643.

Almost surely, 2334248768 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 334248768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579274432).

334248768 is an abundant number, since it is smaller than the sum of its proper divisors (824300096).

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

334248768 is a wasteful number, since it uses less digits than its factorization.

334248768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 224 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 334248768 is about 18282.4716053383. The cubic root of 334248768 is about 693.9954211316.

The spelling of 334248768 in words is "three hundred thirty-four million, two hundred forty-eight thousand, seven hundred sixty-eight".