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1340742348 = 22331110310957
BaseRepresentation
bin100111111101010…
…0001101011001100
310110102211202202000
41033322201223030
510221212223343
6341012432300
745140056551
oct11772415314
93412752660
101340742348
116288a5630
12315018690
13184a0168a
14ca0c8a28
157ca8bed3
hex4fea1acc

1340742348 has 96 divisors (see below), whose sum is σ = 3829163520. Its totient is φ = 402304320.

The previous prime is 1340742329. The next prime is 1340742371. The reversal of 1340742348 is 8432470431.

1340742348 is a `hidden beast` number, since 13 + 407 + 4 + 234 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116886 + ... + 127842.

It is an arithmetic number, because the mean of its divisors is an integer number (39887120).

Almost surely, 21340742348 is an apocalyptic number.

1340742348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340742348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914581760).

1340742348 is an abundant number, since it is smaller than the sum of its proper divisors (2488421172).

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

1340742348 is a wasteful number, since it uses less digits than its factorization.

1340742348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11084 (or 11076 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 1340742348 is about 36616.1487324923. The cubic root of 1340742348 is about 1102.6773207317.

It can be divided in two parts, 13407 and 42348, that added together give a palindrome (55755).

The spelling of 1340742348 in words is "one billion, three hundred forty million, seven hundred forty-two thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 103 108 132 198 206 297 309 396 412 594 618 927 1133 1188 1236 1854 2266 2781 3399 3708 4532 5562 6798 10197 10957 11124 13596 20394 21914 30591 32871 40788 43828 61182 65742 98613 120527 122364 131484 197226 241054 295839 361581 394452 482108 591678 723162 1084743 1128571 1183356 1446324 2169486 2257142 3254229 3385713 4338972 4514284 6508458 6771426 10157139 12414281 13016916 13542852 20314278 24828562 30471417 37242843 40628556 49657124 60942834 74485686 111728529 121885668 148971372 223457058 335185587 446914116 670371174 1340742348