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1349703168 = 293111737127
BaseRepresentation
bin101000001110010…
…1101011000000000
310111001201000200020
41100130231120000
510231011000133
6341532453440
745306200442
oct12034553000
93431630606
101349703168
11632965a70
1231801a280
1318681b238
14cb37c492
157d75c0b3
hex5072d600

1349703168 has 320 divisors, whose sum is σ = 4299153408. Its totient is φ = 371589120.

The previous prime is 1349703167. The next prime is 1349703169. The reversal of 1349703168 is 8613079431.

It is an interprime number because it is at equal distance from previous prime (1349703167) and next prime (1349703169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349703161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10627521 + ... + 10627647.

Almost surely, 21349703168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349703168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149576704).

1349703168 is an abundant number, since it is smaller than the sum of its proper divisors (2949450240).

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

1349703168 is a wasteful number, since it uses less digits than its factorization.

1349703168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 1349703168 is about 36738.3065477983. The cubic root of 1349703168 is about 1105.1284408073.

The spelling of 1349703168 in words is "one billion, three hundred forty-nine million, seven hundred three thousand, one hundred sixty-eight".