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3330812416 = 29107163373
BaseRepresentation
bin1100011010001000…
…0010101000000000
322121010111210122211
43012202002220000
523310141444131
61310302511504
7145353303241
oct30642025000
98533453584
103330812416
11145a17a738
1278b595594
134110b0029
1423851acc8
1514763c5b1
hexc6882a00

3330812416 has 80 divisors (see below), whose sum is σ = 6776646624. Its totient is φ = 1635323904.

The previous prime is 3330812389. The next prime is 3330812417. The reversal of 3330812416 is 6142180333.

It is a super-2 number, since 2×33308124162 = 22188622701159514112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3330812417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8929606 + ... + 8929978.

Almost surely, 23330812416 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 3330812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388323312).

3330812416 is an abundant number, since it is smaller than the sum of its proper divisors (3445834208).

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

3330812416 is a wasteful number, since it uses less digits than its factorization.

3330812416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 3330812416 is about 57713.1910051766. The cubic root of 3330812416 is about 1493.4249121843.

Adding to 3330812416 its reverse (6142180333), we get a palindrome (9472992749).

The spelling of 3330812416 in words is "three billion, three hundred thirty million, eight hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 107 128 163 214 256 326 373 428 512 652 746 856 1304 1492 1712 2608 2984 3424 5216 5968 6848 10432 11936 13696 17441 20864 23872 27392 34882 39911 41728 47744 54784 60799 69764 79822 83456 95488 121598 139528 159644 190976 243196 279056 319288 486392 558112 638576 972784 1116224 1277152 1945568 2232448 2554304 3891136 4464896 5108608 6505493 7782272 8929792 10217216 13010986 15564544 20434432 26021972 31129088 52043944 104087888 208175776 416351552 832703104 1665406208 3330812416