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330145020 = 223251834139
BaseRepresentation
bin10011101011011…
…001110011111100
3212000020002211100
4103223121303330
51134004120040
652432053100
711116120632
oct2353316374
9760202740
10330145020
1115a3a3927
1292694190
1353523aaa
1431bbd352
151deb5b30
hex13ad9cfc

330145020 has 36 divisors (see below), whose sum is σ = 1001440440. Its totient is φ = 88038624.

The previous prime is 330144989. The next prime is 330145031. The reversal of 330145020 is 20541033.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 330144984 and 330145002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 916890 + ... + 917249.

It is an arithmetic number, because the mean of its divisors is an integer number (27817790).

Almost surely, 2330145020 is an apocalyptic number.

330145020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330145020 is an abundant number, since it is smaller than the sum of its proper divisors (671295420).

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

330145020 is a wasteful number, since it uses less digits than its factorization.

330145020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834154 (or 1834149 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 330145020 is about 18169.8932302862. The cubic root of 330145020 is about 691.1435354065.

Adding to 330145020 its reverse (20541033), we get a palindrome (350686053).

The spelling of 330145020 in words is "three hundred thirty million, one hundred forty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1834139 3668278 5502417 7336556 9170695 11004834 16507251 18341390 22009668 27512085 33014502 36682780 55024170 66029004 82536255 110048340 165072510 330145020