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1348007193 = 321319312631
BaseRepresentation
bin101000001011000…
…1111010100011001
310110221111212020100
41100112033110121
510230042212233
6341432250013
745255605061
oct12026172431
93427455210
101348007193
11631a07835
12317540909
131863762c0
14cb05a3a1
157d524813
hex5058f519

1348007193 has 72 divisors (see below), whose sum is σ = 2284376640. Its totient is φ = 759326400.

The previous prime is 1348007191. The next prime is 1348007249. The reversal of 1348007193 is 3917008431.

It is a happy number.

It is not a de Polignac number, because 1348007193 - 21 = 1348007191 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1348007191) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2135988 + ... + 2136618.

Almost surely, 21348007193 is an apocalyptic number.

1348007193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1348007193 is a deficient number, since it is larger than the sum of its proper divisors (936369447).

1348007193 is a wasteful number, since it uses less digits than its factorization.

1348007193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1348007193 is about 36715.2174581603. The cubic root of 1348007193 is about 1104.6653622478.

The spelling of 1348007193 in words is "one billion, three hundred forty-eight million, seven thousand, one hundred ninety-three".

Divisors: 1 3 9 13 19 31 39 57 93 117 171 247 279 403 589 631 741 961 1209 1767 1893 2223 2883 3627 5301 5679 7657 8203 8649 11989 12493 18259 19561 22971 24609 35967 37479 54777 58683 68913 73827 107901 112437 155857 164331 176049 237367 254293 371659 467571 606391 712101 762879 1114977 1402713 1819173 2136303 2288637 3344931 4831567 5457519 7883083 11521429 14494701 23649249 34564287 43484103 70947747 103692861 149778577 449335731 1348007193