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1330146468 = 223371759453
BaseRepresentation
bin100111101001000…
…0110110010100100
310102200220102221000
41033102012302210
510211004141333
6335553353300
744651026020
oct11722066244
93380812830
101330146468
11622918802
12311568830
13182761821
14c892b380
157bb97713
hex4f486ca4

1330146468 has 48 divisors (see below), whose sum is σ = 3941176960. Its totient is φ = 380041632.

The previous prime is 1330146449. The next prime is 1330146473. The reversal of 1330146468 is 8646410331.

It is a happy number.

1330146468 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 1 + 4 + 646 + 8 = 666.

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 15 ways as a sum of consecutive naturals, for example, 878971 + ... + 880482.

Almost surely, 21330146468 is an apocalyptic number.

1330146468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1330146468 is an abundant number, since it is smaller than the sum of its proper divisors (2611030492).

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

1330146468 is a wasteful number, since it uses less digits than its factorization.

1330146468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759473 (or 1759465 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1330146468 is about 36471.1731097315. The cubic root of 1330146468 is about 1099.7648169384.

Adding to 1330146468 its reverse (8646410331), we get a palindrome (9976556799).

The spelling of 1330146468 in words is "one billion, three hundred thirty million, one hundred forty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1759453 3518906 5278359 7037812 10556718 12316171 15835077 21113436 24632342 31670154 36948513 47505231 49264684 63340308 73897026 95010462 110845539 147794052 190020924 221691078 332536617 443382156 665073234 1330146468