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3066401000 = 235313235877
BaseRepresentation
bin1011011011000101…
…1001000011101000
321220200222022101102
42312301121003220
522234444313000
61224135340532
7135662656415
oct26661310350
97820868342
103066401000
1113339a3503
12716b21748
1339b392b80
1421136d10c
1512e30d3d5
hexb6c590e8

3066401000 has 64 divisors (see below), whose sum is σ = 7727363280. Its totient is φ = 1132204800.

The previous prime is 3066400943. The next prime is 3066401003. The reversal of 3066401000 is 1046603.

It can be written as a sum of positive squares in 8 ways, for example, as 148888804 + 2917512196 = 12202^2 + 54014^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3066401003) 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, 104939 + ... + 130938.

Almost surely, 23066401000 is an apocalyptic number.

It is an amenable number.

3066401000 is an abundant number, since it is smaller than the sum of its proper divisors (4660962280).

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

3066401000 is a wasteful number, since it uses less digits than its factorization.

3066401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235911 (or 235897 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3066401000 is about 55375.0936793790. The cubic root of 3066401000 is about 1452.8127723981.

Adding to 3066401000 its reverse (1046603), we get a palindrome (3067447603).

The spelling of 3066401000 in words is "three billion, sixty-six million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 235877 471754 943508 1179385 1887016 2358770 3066401 4717540 5896925 6132802 9435080 11793850 12265604 15332005 23587700 24531208 29484625 30664010 47175400 58969250 61328020 76660025 117938500 122656040 153320050 235877000 306640100 383300125 613280200 766600250 1533200500 3066401000