Search a number
-
+
3354665460 = 22351923971319
BaseRepresentation
bin1100011111110100…
…0010000111110100
322122210101122212220
43013331002013310
523332243243320
61312514042340
7146063120526
oct30775020764
98583348786
103354665460
1114716918a3
127975793b0
13416012163
1423b769a16
1514979ee40
hexc7f421f4

3354665460 has 192 divisors, whose sum is σ = 10431590400. Its totient is φ = 801681408.

The previous prime is 3354665449. The next prime is 3354665477. The reversal of 3354665460 is 645664533.

It is a happy number.

It is a super-2 number, since 2×33546654602 = 22507560697034023200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2542681 + ... + 2543999.

It is an arithmetic number, because the mean of its divisors is an integer number (54331200).

Almost surely, 23354665460 is an apocalyptic number.

3354665460 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 3354665460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215795200).

3354665460 is an abundant number, since it is smaller than the sum of its proper divisors (7076924940).

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

3354665460 is a wasteful number, since it uses less digits than its factorization.

3354665460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The square root of 3354665460 is about 57919.4739271689. The cubic root of 3354665460 is about 1496.9814050200.

The spelling of 3354665460 in words is "three billion, three hundred fifty-four million, six hundred sixty-five thousand, four hundred sixty".