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342230214320 = 24510322691499
BaseRepresentation
bin1001111101011101000…
…00101010011010110000
31012201100121112012010222
410332232200222122300
521101341413324240
6421115101112212
733503532552611
oct4765640523260
91181317465128
10342230214320
11122159041375
12563b0258668
132636cc611c7
14127c79b3c08
158d7ed7eeb5
hex4fae82a6b0

342230214320 has 120 divisors (see below), whose sum is σ = 807010290000. Its totient is φ = 134968985088.

The previous prime is 342230214307. The next prime is 342230214353. The reversal of 342230214320 is 23412032243.

It is a self number, because there is not a number n which added to its sum of digits gives 342230214320.

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 23 ways as a sum of consecutive naturals, for example, 228304931 + ... + 228306429.

It is an arithmetic number, because the mean of its divisors is an integer number (6725085750).

Almost surely, 2342230214320 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 342230214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403505145000).

342230214320 is an abundant number, since it is smaller than the sum of its proper divisors (464780075680).

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

342230214320 is a wasteful number, since it uses less digits than its factorization.

With its successor (342230214321) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1987).

342230214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 342230214320 its reverse (23412032243), we get a palindrome (365642246563).

The spelling of 342230214320 in words is "three hundred forty-two billion, two hundred thirty million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 269 412 515 538 824 1030 1076 1345 1499 1648 2060 2152 2690 2998 4120 4304 5380 5996 7495 8240 10609 10760 11992 14990 21218 21520 23984 27707 29980 42436 53045 55414 59960 84872 106090 110828 119920 138535 154397 169744 212180 221656 277070 308794 403231 424360 443312 554140 617588 771985 806462 848720 1108280 1235176 1543970 1612924 2016155 2216560 2470352 2853821 3087940 3225848 4032310 5707642 6175880 6451696 8064620 11415284 12351760 14269105 15902891 16129240 22830568 28538210 31805782 32258480 41532793 45661136 57076420 63611564 79514455 83065586 114152840 127223128 159028910 166131172 207663965 228305680 254446256 318057820 332262344 415327930 636115640 664524688 830655860 1272231280 1661311720 3322623440 4277877679 8555755358 17111510716 21389388395 34223021432 42778776790 68446042864 85557553580 171115107160 342230214320