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3343222480 = 245134374759
BaseRepresentation
bin1100011101000101…
…1000011011010000
322121222212022001211
43013101120123100
523321331104410
61311424505504
7145563631213
oct30721303320
98558768054
103343222480
111466186594
1279377b294
13413836870
1423a02b77a
1514878e68a
hexc74586d0

3343222480 has 80 divisors (see below), whose sum is σ = 8565701760. Its totient is φ = 1205697024.

The previous prime is 3343222469. The next prime is 3343222483. The reversal of 3343222480 is 842223433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33432224802 = 22354273101554700800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3343222483) 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, 7341 + ... + 82099.

It is an arithmetic number, because the mean of its divisors is an integer number (107071272).

Almost surely, 23343222480 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 3343222480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4282850880).

3343222480 is an abundant number, since it is smaller than the sum of its proper divisors (5222479280).

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

3343222480 is a wasteful number, since it uses less digits than its factorization.

3343222480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74828 (or 74822 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 3343222480 is about 57820.6060155028. The cubic root of 3343222480 is about 1495.2773660159.

The spelling of 3343222480 in words is "three billion, three hundred forty-three million, two hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 86 104 130 172 208 215 260 344 430 520 559 688 860 1040 1118 1720 2236 2795 3440 4472 5590 8944 11180 22360 44720 74759 149518 299036 373795 598072 747590 971867 1196144 1495180 1943734 2990360 3214637 3887468 4859335 5980720 6429274 7774936 9718670 12858548 15549872 16073185 19437340 25717096 32146370 38874680 41790281 51434192 64292740 77749360 83580562 128585480 167161124 208951405 257170960 334322248 417902810 668644496 835805620 1671611240 3343222480