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1348791390 = 2325172713253
BaseRepresentation
bin101000001100100…
…1110110001011110
310110222222200221200
41100121032301132
510230242311030
6341501140330
745265352262
oct12031166136
93428880850
101348791390
116323a2a31
1231785a6a6
1318658c21b
14cb1c20a2
157d62bd60
hex5064ec5e

1348791390 has 96 divisors (see below), whose sum is σ = 3727990656. Its totient is φ = 337167360.

The previous prime is 1348791349. The next prime is 1348791403. The reversal of 1348791390 is 931978431.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413004 + ... + 416256.

It is an arithmetic number, because the mean of its divisors is an integer number (38833236).

Almost surely, 21348791390 is an apocalyptic number.

1348791390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1348791390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863995328).

1348791390 is an abundant number, since it is smaller than the sum of its proper divisors (2379199266).

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

1348791390 is a wasteful number, since it uses less digits than its factorization.

1348791390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1348791390 is about 36725.8953600862. The cubic root of 1348791390 is about 1104.8795320578.

The spelling of 1348791390 in words is "one billion, three hundred forty-eight million, seven hundred ninety-one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 271 306 510 542 765 813 1355 1530 1626 2439 2710 3253 4065 4607 4878 6506 8130 9214 9759 12195 13821 16265 19518 23035 24390 27642 29277 32530 41463 46070 48795 55301 58554 69105 82926 97590 110602 138210 146385 165903 207315 276505 292770 331806 414630 497709 553010 829515 881563 995418 1659030 1763126 2488545 2644689 4407815 4977090 5289378 7934067 8815630 13223445 14986571 15868134 26446890 29973142 39670335 44959713 74932855 79340670 89919426 134879139 149865710 224798565 269758278 449597130 674395695 1348791390