Search a number
-
+
330068736 = 283317532
BaseRepresentation
bin10011101011000…
…111001100000000
3212000002020012000
4103223013030000
51133444144421
652430304000
711115352344
oct2353071400
9760066160
10330068736
1115a351588
1292658000
13534c815a
1431b9d624
151de9d226
hex13ac7300

330068736 has 216 divisors, whose sum is σ = 1053354960. Its totient is φ = 101597184.

The previous prime is 330068701. The next prime is 330068747. The reversal of 330068736 is 637860033.

330068736 = T6223 + T6224 + ... + T6239.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 330068736.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6227686 + ... + 6227738.

Almost surely, 2330068736 is an apocalyptic number.

330068736 is a gapful number since it is divisible by the number (36) 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 330068736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526677480).

330068736 is an abundant number, since it is smaller than the sum of its proper divisors (723286224).

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

330068736 is an equidigital number, since it uses as much as digits as its factorization.

330068736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 330068736 is about 18167.7939222130. The cubic root of 330068736 is about 691.0902989482.

The spelling of 330068736 in words is "three hundred thirty million, sixty-eight thousand, seven hundred thirty-six".