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1348290740 = 22517413112
BaseRepresentation
bin101000001011101…
…0100100010110100
310110222001021012002
41100113110202310
510230130300430
6341442314432
745261165536
oct12027244264
93428037162
101348290740
11632090875
12317658a18
13186445394
14cb0d1856
157d57d845
hex505d48b4

1348290740 has 72 divisors (see below), whose sum is σ = 3080991816. Its totient is φ = 493619200.

The previous prime is 1348290737. The next prime is 1348290743. The reversal of 1348290740 is 470928431.

It is an interprime number because it is at equal distance from previous prime (1348290737) and next prime (1348290743).

It can be written as a sum of positive squares in 4 ways, for example, as 46812964 + 1301477776 = 6842^2 + 36076^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1348290694 and 1348290703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348290743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4335185 + ... + 4335495.

It is an arithmetic number, because the mean of its divisors is an integer number (42791553).

Almost surely, 21348290740 is an apocalyptic number.

1348290740 is a gapful number since it is divisible by the number (10) 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 1348290740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540495908).

1348290740 is an abundant number, since it is smaller than the sum of its proper divisors (1732701076).

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

1348290740 is a wasteful number, since it uses less digits than its factorization.

1348290740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 1348290740 is about 36719.0786921459. The cubic root of 1348290740 is about 1104.7428105462.

The spelling of 1348290740 in words is "one billion, three hundred forty-eight million, two hundred ninety thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 311 340 410 622 697 820 1244 1394 1555 2788 3110 3485 5287 6220 6970 10574 12751 13940 21148 25502 26435 51004 52870 63755 96721 105740 127510 193442 216767 255020 386884 433534 483605 867068 967210 1083835 1644257 1934420 2167670 3288514 3965561 4335340 6577028 7931122 8221285 15862244 16442570 19827805 32885140 39655610 67414537 79311220 134829074 269658148 337072685 674145370 1348290740