Search a number
-
+
330926440 = 235131275011
BaseRepresentation
bin10011101110011…
…000100101101000
3212001200210201211
4103232120211220
51134204121230
652500522504
711125554055
oct2356304550
9761623654
10330926440
1115a887a29
12929b0434
1353738680
1431d4402c
151e0bc42a
hex13b98968

330926440 has 64 divisors (see below), whose sum is σ = 808335360. Its totient is φ = 121201920.

The previous prime is 330926423. The next prime is 330926443. The reversal of 330926440 is 44629033.

330926440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (330926443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63535 + ... + 68545.

It is an arithmetic number, because the mean of its divisors is an integer number (12630240).

Almost surely, 2330926440 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 330926440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404167680).

330926440 is an abundant number, since it is smaller than the sum of its proper divisors (477408920).

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

330926440 is a wasteful number, since it uses less digits than its factorization.

330926440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5162 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 330926440 is about 18191.3836746961. The cubic root of 330926440 is about 691.6883947949.

The spelling of 330926440 in words is "three hundred thirty million, nine hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 127 130 254 260 508 520 635 1016 1270 1651 2540 3302 5011 5080 6604 8255 10022 13208 16510 20044 25055 33020 40088 50110 65143 66040 100220 130286 200440 260572 325715 521144 636397 651430 1272794 1302860 2545588 2605720 3181985 5091176 6363970 8273161 12727940 16546322 25455880 33092644 41365805 66185288 82731610 165463220 330926440