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346342244130 = 2325101231116487
BaseRepresentation
bin1010000101000111001…
…10110011111100100010
31020002222012000221121100
411002203212303330202
521133302103303010
6423035112135230
734010453333661
oct5024346637442
91202865027540
10346342244130
11123979193213
1257159397516
1326876b48b3c
1412a97b6add8
159020d842c0
hex50a39b3f22

346342244130 has 96 divisors (see below), whose sum is σ = 909854270208. Its totient is φ = 91398384000.

The previous prime is 346342244117. The next prime is 346342244137. The reversal of 346342244130 is 31442243643.

346342244130 is a `hidden beast` number, since 3 + 4 + 63 + 422 + 44 + 130 = 666.

It is not an unprimeable number, because it can be changed into a prime (346342244137) 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 47 ways as a sum of consecutive naturals, for example, 20998747 + ... + 21015233.

It is an arithmetic number, because the mean of its divisors is an integer number (9477648648).

Almost surely, 2346342244130 is an apocalyptic number.

346342244130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 346342244130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454927135104).

346342244130 is an abundant number, since it is smaller than the sum of its proper divisors (563512026078).

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

346342244130 is a wasteful number, since it uses less digits than its factorization.

346342244130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18912 (or 18909 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 346342244130 its reverse (31442243643), we get a palindrome (377784487773).

The spelling of 346342244130 in words is "three hundred forty-six billion, three hundred forty-two million, two hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 2311 3030 4545 4622 6933 9090 11555 13866 16487 20799 23110 32974 34665 41598 49461 69330 82435 98922 103995 148383 164870 207990 233411 247305 296766 466822 494610 700233 741915 1167055 1400466 1483830 1665187 2100699 2334110 3330374 3501165 4201398 4995561 7002330 8325935 9991122 10503495 14986683 16651870 21006990 24977805 29973366 38101457 49955610 74933415 76202914 114304371 149866830 190507285 228608742 342913113 381014570 571521855 685826226 1143043710 1714565565 3429131130 3848247157 7696494314 11544741471 19241235785 23089482942 34634224413 38482471570 57723707355 69268448826 115447414710 173171122065 346342244130