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342024200430 = 2351123151298427
BaseRepresentation
bin1001111101000100011…
…10110010000011101110
31012200211020212121012220
410332202032302003232
521100431143403210
6421042421340210
733465451510203
oct4764216620356
91180736777186
10342024200430
11122062821060
1256353267666
132633937c7b3
14127a84a7caa
158d6bc38c70
hex4fa23b20ee

342024200430 has 128 divisors (see below), whose sum is σ = 940606857216. Its totient is φ = 78784464000.

The previous prime is 342024200411. The next prime is 342024200431. The reversal of 342024200430 is 34002420243.

It is a self number, because there is not a number n which added to its sum of digits gives 342024200430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342024200431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 996877 + ... + 1295303.

It is an arithmetic number, because the mean of its divisors is an integer number (7348491072).

Almost surely, 2342024200430 is an apocalyptic number.

342024200430 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 342024200430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470303428608).

342024200430 is an abundant number, since it is smaller than the sum of its proper divisors (598582656786).

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

342024200430 is a wasteful number, since it uses less digits than its factorization.

342024200430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298622.

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 342024200430 its reverse (34002420243), we get a palindrome (376026620673).

The spelling of 342024200430 in words is "three hundred forty-two billion, twenty-four million, two hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 151 165 230 253 302 330 345 453 506 690 755 759 906 1265 1510 1518 1661 2265 2530 3322 3473 3795 4530 4983 6946 7590 8305 9966 10419 16610 17365 20838 24915 34730 38203 49830 52095 76406 104190 114609 191015 229218 298427 382030 573045 596854 895281 1146090 1492135 1790562 2984270 3282697 4476405 6565394 6863821 8952810 9848091 13727642 16413485 19696182 20591463 32826970 34319105 41182926 45062477 49240455 68638210 75502031 90124954 98480910 102957315 135187431 151004062 205914630 225312385 226506093 270374862 377510155 450624770 453012186 495687247 675937155 755020310 991374494 1036436971 1132530465 1351874310 1487061741 2072873942 2265060930 2478436235 2974123482 3109310913 4956872470 5182184855 6218621826 7435308705 10364369710 11400806681 14870617410 15546554565 22801613362 31093109130 34202420043 57004033405 68404840086 114008066810 171012100215 342024200430