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342824997504 = 2731181161221
BaseRepresentation
bin1001111110100011111…
…01100101001010000000
31012202220001201022021210
410333101331211022000
521104101144410004
6421254105250120
733524344253433
oct4772175451200
91182801638253
10342824997504
11122433856820
1256537493940
1326436251412
141284299d81a
158db71bc089
hex4fd1f65280

342824997504 has 64 divisors (see below), whose sum is σ = 993413357280. Its totient is φ = 103886361600.

The previous prime is 342824997503. The next prime is 342824997509. The reversal of 342824997504 is 405799428243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (342824997503) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 40576387 + ... + 40584834.

Almost surely, 2342824997504 is an apocalyptic number.

It is an amenable number.

342824997504 is an abundant number, since it is smaller than the sum of its proper divisors (650588359776).

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

342824997504 is a wasteful number, since it uses less digits than its factorization.

342824997504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81161249 (or 81161237 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 342824997504 in words is "three hundred forty-two billion, eight hundred twenty-four million, nine hundred ninety-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 81161221 162322442 243483663 324644884 486967326 649289768 892773431 973934652 1298579536 1785546862 1947869304 2597159072 2678320293 3571093724 3895738608 5194318144 5356640586 7142187448 7791477216 10388636288 10713281172 14284374896 15582954432 21426562344 28568749792 31165908864 42853124688 57137499584 85706249376 114274999168 171412498752 342824997504