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3344385060 = 2232519396269
BaseRepresentation
bin1100011101010111…
…0100010000100100
322122002001100211100
43013111310100210
523322130310220
61311505440100
7145606542522
oct30725642044
98562040740
103344385060
1114668aaaa5
12794040030
13413b52a93
1423a251312
1514891dd90
hexc7574424

3344385060 has 72 divisors (see below), whose sum is σ = 10197303480. Its totient is φ = 887205888.

The previous prime is 3344385019. The next prime is 3344385089. The reversal of 3344385060 is 605834433.

It can be written as a sum of positive squares in 4 ways, for example, as 875686464 + 2468698596 = 29592^2 + 49686^2 .

It is a super-2 number, since 2×33443850602 = 22369822859102407200, 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, 13395 + ... + 82874.

It is an arithmetic number, because the mean of its divisors is an integer number (141629215).

Almost surely, 23344385060 is an apocalyptic number.

3344385060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3344385060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098651740).

3344385060 is an abundant number, since it is smaller than the sum of its proper divisors (6852918420).

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

3344385060 is a wasteful number, since it uses less digits than its factorization.

3344385060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96477 (or 96472 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3344385060 is about 57830.6584780080. The cubic root of 3344385060 is about 1495.4506696779.

The spelling of 3344385060 in words is "three billion, three hundred forty-four million, three hundred eighty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 193 386 579 772 965 1158 1737 1930 2316 2895 3474 3860 5790 6948 8685 11580 17370 34740 96269 192538 288807 385076 481345 577614 866421 962690 1155228 1444035 1732842 1925380 2888070 3465684 4332105 5776140 8664210 17328420 18579917 37159834 55739751 74319668 92899585 111479502 167219253 185799170 222959004 278698755 334438506 371598340 557397510 668877012 836096265 1114795020 1672192530 3344385060