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342824248816 = 24731829119107
BaseRepresentation
bin1001111110100011110…
…10101110010111110000
31012202220000022021021121
410333101322232113300
521104101001430231
6421254041232024
733524335014610
oct4772172562760
91182800267247
10342824248816
11122433395275
1256537192614
132643604b6ca
1412842846a40
158db70c0311
hex4fd1eae5f0

342824248816 has 80 divisors (see below), whose sum is σ = 784550103040. Its totient is φ = 142012465920.

The previous prime is 342824248729. The next prime is 342824248831. The reversal of 342824248816 is 618842428243.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2818735 + ... + 2937841.

It is an arithmetic number, because the mean of its divisors is an integer number (9806876288).

Almost surely, 2342824248816 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 342824248816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392275051520).

342824248816 is an abundant number, since it is smaller than the sum of its proper divisors (441725854224).

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

342824248816 is a wasteful number, since it uses less digits than its factorization.

342824248816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119982 (or 119976 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 52.

The spelling of 342824248816 in words is "three hundred forty-two billion, eight hundred twenty-four million, two hundred forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 829 868 1658 1736 3316 3472 5803 6632 11606 13264 23212 25699 46424 51398 92848 102796 119107 179893 205592 238214 359786 411184 476428 719572 833749 952856 1439144 1667498 1905712 2878288 3334996 3692317 6669992 7384634 13339984 14769268 25846219 29538536 51692438 59077072 98739703 103384876 197479406 206769752 394958812 413539504 691177921 789917624 1382355842 1579835248 2764711684 3060930793 5529423368 6121861586 11058846736 12243723172 21426515551 24487446344 42853031102 48974892688 85706062204 171412124408 342824248816