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348802287340 = 225132157657299
BaseRepresentation
bin1010001001101100011…
…11001000011011101100
31020100022122001002110211
411010312033020123230
521203321341143330
6424123151312204
734125434344423
oct5046617103354
91210278032424
10348802287340
11124a20886081
125772521b664
1326b796c8300
1412c4c77a2ba
159116d1ad2a
hex51363c86ec

348802287340 has 72 divisors (see below), whose sum is σ = 798217232400. Its totient is φ = 127968033024.

The previous prime is 348802287329. The next prime is 348802287347. The reversal of 348802287340 is 43782208843.

It is not an unprimeable number, because it can be changed into a prime (348802287347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202011 + ... + 859309.

It is an arithmetic number, because the mean of its divisors is an integer number (11086350450).

Almost surely, 2348802287340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348802287340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399108616200).

348802287340 is an abundant number, since it is smaller than the sum of its proper divisors (449414945060).

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

348802287340 is a wasteful number, since it uses less digits than its factorization.

348802287340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657491 (or 657476 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 49.

The spelling of 348802287340 in words is "three hundred forty-eight billion, eight hundred two million, two hundred eighty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 157 169 260 314 338 628 676 785 845 1570 1690 2041 3140 3380 4082 8164 10205 20410 26533 40820 53066 106132 132665 265330 530660 657299 1314598 2629196 3286495 6572990 8544887 13145980 17089774 34179548 42724435 85448870 103195943 111083531 170897740 206391886 222167062 412783772 444334124 515979715 555417655 1031959430 1110835310 1341547259 2063918860 2221670620 2683094518 5366189036 6707736295 13415472590 17440114367 26830945180 34880228734 69760457468 87200571835 174401143670 348802287340