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330742720 = 26571131433
BaseRepresentation
bin10011101101101…
…011101111000000
3212001100110201101
4103231223233000
51134132231340
652452544144
711124160330
oct2355535700
9761313641
10330742720
1115a7719a0
1292922054
13536a2b69
1431cd70c0
151e082c9a
hex13b6bbc0

330742720 has 224 divisors, whose sum is σ = 1015934976. Its totient is φ = 99532800.

The previous prime is 330742697. The next prime is 330742721. The reversal of 330742720 is 27247033.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330742721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763624 + ... + 764056.

It is an arithmetic number, because the mean of its divisors is an integer number (4535424).

Almost surely, 2330742720 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 330742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507967488).

330742720 is an abundant number, since it is smaller than the sum of its proper divisors (685192256).

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

330742720 is a wasteful number, since it uses less digits than its factorization.

330742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 28.

The square root of 330742720 is about 18186.3333302785. Note that the first 5 decimals coincide. The cubic root of 330742720 is about 691.5603698522.

Adding to 330742720 its reverse (27247033), we get a palindrome (357989753).

The spelling of 330742720 in words is "three hundred thirty million, seven hundred forty-two thousand, seven hundred twenty".