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345215433630 = 2352931109117431
BaseRepresentation
bin1010000011000000111…
…00010111101110011110
31020000001122202001012010
411001200130113232132
521124000122334010
6422331220452050
733640521525114
oct5014034275636
91200048661163
10345215433630
11123450126871
1256aa3b4a026
132672756bb72
14129cc24dab4
158ea6ea4620
hex5060717b9e

345215433630 has 128 divisors (see below), whose sum is σ = 892858982400. Its totient is φ = 85225996800.

The previous prime is 345215433623. The next prime is 345215433643. The reversal of 345215433630 is 36334512543.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2881015 + ... + 2998445.

It is an arithmetic number, because the mean of its divisors is an integer number (6975460800).

Almost surely, 2345215433630 is an apocalyptic number.

345215433630 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 345215433630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446429491200).

345215433630 is an abundant number, since it is smaller than the sum of its proper divisors (547643548770).

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

345215433630 is a wasteful number, since it uses less digits than its factorization.

345215433630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117610.

The product of its (nonzero) digits is 388800, while the sum is 39.

The spelling of 345215433630 in words is "three hundred forty-five billion, two hundred fifteen million, four hundred thirty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 31 58 62 87 93 109 145 155 174 186 218 290 310 327 435 465 545 654 870 899 930 1090 1635 1798 2697 3161 3270 3379 4495 5394 6322 6758 8990 9483 10137 13485 15805 16895 18966 20274 26970 31610 33790 47415 50685 94830 97991 101370 117431 195982 234862 293973 352293 489955 587155 587946 704586 979910 1174310 1469865 1761465 2939730 3405499 3522930 3640361 6810998 7280722 10216497 10921083 12799979 17027495 18201805 20432994 21842166 25599958 34054990 36403610 38399937 51082485 54605415 63999895 76799874 102164970 105570469 109210830 127999790 191999685 211140938 316711407 371199391 383999370 396799349 527852345 633422814 742398782 793598698 1055704690 1113598173 1190398047 1583557035 1855996955 1983996745 2227196346 2380796094 3167114070 3711993910 3967993490 5567990865 5951990235 11135981730 11507181121 11903980470 23014362242 34521543363 57535905605 69043086726 115071811210 172607716815 345215433630