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1348414308 = 223237455953
BaseRepresentation
bin101000001011111…
…0010101101100100
310110222021112200200
41100113302231210
510230143224213
6341445110500
745262222023
oct12027625544
93428245620
101348414308
1163216569a
123176b8430
131864896b7
14cb1248ba
157d5a5273
hex505f2b64

1348414308 has 18 divisors (see below), whose sum is σ = 3408491814. Its totient is φ = 449471424.

The previous prime is 1348414237. The next prime is 1348414367. The reversal of 1348414308 is 8034148431.

1348414308 is a `hidden beast` number, since 1 + 348 + 4 + 1 + 4 + 308 = 666.

It can be written as a sum of positive squares in only one way, i.e., 751198464 + 597215844 = 27408^2 + 24438^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×13484143082 = 3636442292038237728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 37455953 = 1348414308 / (1 + 3 + 4 + 8 + 4 + 1 + 4 + 3 + 0 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18727941 + ... + 18728012.

Almost surely, 21348414308 is an apocalyptic number.

1348414308 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1348414308 is an abundant number, since it is smaller than the sum of its proper divisors (2060077506).

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

1348414308 is a wasteful number, since it uses less digits than its factorization.

1348414308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37455963 (or 37455958 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1348414308 is about 36720.7612666186. The cubic root of 1348414308 is about 1104.7765586307.

The spelling of 1348414308 in words is "one billion, three hundred forty-eight million, four hundred fourteen thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 37455953 74911906 112367859 149823812 224735718 337103577 449471436 674207154 1348414308