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342450693324 = 223373101430061
BaseRepresentation
bin1001111101110111010…
…01101110010011001100
31012201220222101200111000
410332323221232103030
521102314334141244
6421153014500300
733512150602545
oct4767351562314
91181828350430
10342450693324
11122261541523
1256452064690
13263a683895c
1412808da74cc
158d943d2169
hex4fbba6e4cc

342450693324 has 96 divisors (see below), whose sum is σ = 908910233280. Its totient is φ = 111471552000.

The previous prime is 342450693287. The next prime is 342450693331. The reversal of 342450693324 is 423396054243.

342450693324 is a `hidden beast` number, since 3 + 4 + 24 + 506 + 93 + 32 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 342450693324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581254 + ... + 1011314.

It is an arithmetic number, because the mean of its divisors is an integer number (9467814930).

Almost surely, 2342450693324 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 342450693324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454455116640).

342450693324 is an abundant number, since it is smaller than the sum of its proper divisors (566459539956).

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

342450693324 is a wasteful number, since it uses less digits than its factorization.

342450693324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430248 (or 430240 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 342450693324 in words is "three hundred forty-two billion, four hundred fifty million, six hundred ninety-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 101 108 146 202 219 292 303 404 438 606 657 876 909 1212 1314 1818 1971 2628 2727 3636 3942 5454 7373 7884 10908 14746 22119 29492 44238 66357 88476 132714 199071 265428 398142 430061 796284 860122 1290183 1720244 2580366 3870549 5160732 7741098 11611647 15482196 23223294 31394453 43436161 46446588 62788906 86872322 94183359 125577812 130308483 173744644 188366718 260616966 282550077 376733436 390925449 521233932 565100154 781850898 847650231 1130200308 1172776347 1563701796 1695300462 2345552694 3170839753 3390600924 4691105388 6341679506 9512519259 12683359012 19025038518 28537557777 38050077036 57075115554 85612673331 114150231108 171225346662 342450693324