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3362060772 = 2232719369127
BaseRepresentation
bin1100100001100100…
…1111100111100100
322200022022101100100
43020121033213210
523341141421042
61313340344100
7146213021310
oct31031174744
98608271310
103362060772
111475883024
12799b45030
13417701295
1423c732b40
1514a26124c
hexc864f9e4

3362060772 has 72 divisors (see below), whose sum is σ = 9763085696. Its totient is φ = 955597824.

The previous prime is 3362060731. The next prime is 3362060783. The reversal of 3362060772 is 2770602633.

3362060772 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33620607722 = 22606905269242471968, which contains 22 as substring.

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

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, 14073 + ... + 83199.

Almost surely, 23362060772 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 3362060772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881542848).

3362060772 is an abundant number, since it is smaller than the sum of its proper divisors (6401024924).

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

3362060772 is a wasteful number, since it uses less digits than its factorization.

3362060772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69337 (or 69332 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 3362060772 is about 57983.2801072861. The cubic root of 3362060772 is about 1498.0806223739.

The spelling of 3362060772 in words is "three billion, three hundred sixty-two million, sixty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 193 252 386 579 772 1158 1351 1737 2316 2702 3474 4053 5404 6948 8106 12159 16212 24318 48636 69127 138254 207381 276508 414762 483889 622143 829524 967778 1244286 1451667 1935556 2488572 2903334 4355001 5806668 8710002 13341511 17420004 26683022 40024533 53366044 80049066 93390577 120073599 160098132 186781154 240147198 280171731 373562308 480294396 560343462 840515193 1120686924 1681030386 3362060772