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345336156330 = 235116717987257
BaseRepresentation
bin1010000011001111010…
…00111001000010101010
31020000101001220101121020
411001213220321002222
521124222024000310
6422351212153310
733643515616254
oct5014750710252
91200331811536
10345336156330
111235022915a0
1256b18468836
1326746589a09
1412a002b6cd4
158eb289e170
hex5067a390aa

345336156330 has 128 divisors (see below), whose sum is σ = 922784762880. Its totient is φ = 82006679040.

The previous prime is 345336156313. The next prime is 345336156331. The reversal of 345336156330 is 33651633543.

It is not an unprimeable number, because it can be changed into a prime (345336156331) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3914062 + ... + 4001318.

It is an arithmetic number, because the mean of its divisors is an integer number (7209255960).

Almost surely, 2345336156330 is an apocalyptic number.

345336156330 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 345336156330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461392381440).

345336156330 is an abundant number, since it is smaller than the sum of its proper divisors (577448606550).

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

345336156330 is a wasteful number, since it uses less digits than its factorization.

345336156330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87524.

The product of its (nonzero) digits is 874800, while the sum is 42.

Adding to 345336156330 its reverse (33651633543), we get a palindrome (378987789873).

The spelling of 345336156330 in words is "three hundred forty-five billion, three hundred thirty-six million, one hundred fifty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 165 179 201 330 335 358 402 537 670 737 895 1005 1074 1474 1790 1969 2010 2211 2685 3685 3938 4422 5370 5907 7370 9845 11055 11814 11993 19690 22110 23986 29535 35979 59070 59965 71958 87257 119930 131923 174514 179895 261771 263846 359790 395769 436285 523542 659615 791538 872570 959827 1308855 1319230 1919654 1978845 2617710 2879481 3957690 4799135 5758962 5846219 9598270 11692438 14397405 15619003 17538657 28794810 29231095 31238006 35077314 46857009 58462190 64308409 78095015 87693285 93714018 128616818 156190030 171809033 175386570 192925227 234285045 321542045 343618066 385850454 468570090 515427099 643084090 859045165 964626135 1030854198 1046473201 1718090330 1929252270 2092946402 2577135495 3139419603 5154270990 5232366005 6278839206 10464732010 11511205211 15697098015 23022410422 31394196030 34533615633 57556026055 69067231266 115112052110 172668078165 345336156330