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1349382690 = 232547714493
BaseRepresentation
bin101000001101101…
…1111001000100010
310111001002202001200
41100123133020202
510230420221230
6341521542030
745303364215
oct12033371042
93431082050
101349382690
11632767207
12317aa4916
131867383c6
14cb2d777c
157d6e7160
hex506df222

1349382690 has 96 divisors (see below), whose sum is σ = 3634315776. Its totient is φ = 347141760.

The previous prime is 1349382689. The next prime is 1349382691. The reversal of 1349382690 is 962839431.

It is a happy number.

1349382690 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1349382689) and next prime (1349382691).

It is a super-2 number, since 2×13493826902 = 3641667288143272200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1349382691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298084 + ... + 302576.

It is an arithmetic number, because the mean of its divisors is an integer number (37857456).

Almost surely, 21349382690 is an apocalyptic number.

1349382690 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 1349382690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817157888).

1349382690 is an abundant number, since it is smaller than the sum of its proper divisors (2284933086).

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

1349382690 is a wasteful number, since it uses less digits than its factorization.

1349382690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4624 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 1349382690 is about 36733.9446561351. The cubic root of 1349382690 is about 1105.0409654284.

The spelling of 1349382690 in words is "one billion, three hundred forty-nine million, three hundred eighty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 71 90 94 141 142 213 235 282 355 423 426 470 639 705 710 846 1065 1278 1410 2115 2130 3195 3337 4230 4493 6390 6674 8986 10011 13479 16685 20022 22465 26958 30033 33370 40437 44930 50055 60066 67395 80874 100110 134790 150165 202185 211171 300330 319003 404370 422342 633513 638006 957009 1055855 1267026 1595015 1900539 1914018 2111710 2871027 3167565 3190030 3801078 4785045 5742054 6335130 9502695 9570090 14355135 14993141 19005390 28710270 29986282 44979423 74965705 89958846 134938269 149931410 224897115 269876538 449794230 674691345 1349382690