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330700040 = 235111037297
BaseRepresentation
bin10011101101100…
…001010100001000
3212001021022011122
4103231201110020
51134124400130
652452014412
711123622026
oct2355412410
9761238148
10330700040
1115a742920
1292901408
13536895c8
1431cc5716
151e0752e5
hex13b61508

330700040 has 64 divisors (see below), whose sum is σ = 819711360. Its totient is φ = 119070720.

The previous prime is 330699989. The next prime is 330700081. The reversal of 330700040 is 40007033.

It is a junction number, because it is equal to n+sod(n) for n = 330699991 and 330700018.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41672 + ... + 48968.

It is an arithmetic number, because the mean of its divisors is an integer number (12807990).

Almost surely, 2330700040 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 330700040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409855680).

330700040 is an abundant number, since it is smaller than the sum of its proper divisors (489011320).

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

330700040 is a wasteful number, since it uses less digits than its factorization.

330700040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7422 (or 7418 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 17.

The square root of 330700040 is about 18185.1598838174. The cubic root of 330700040 is about 691.5306215872.

Adding to 330700040 its reverse (40007033), we get a palindrome (370707073).

The spelling of 330700040 in words is "three hundred thirty million, seven hundred thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 103 110 206 220 412 440 515 824 1030 1133 2060 2266 4120 4532 5665 7297 9064 11330 14594 22660 29188 36485 45320 58376 72970 80267 145940 160534 291880 321068 401335 642136 751591 802670 1503182 1605340 3006364 3210680 3757955 6012728 7515910 8267501 15031820 16535002 30063640 33070004 41337505 66140008 82675010 165350020 330700040