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342414303040 = 2652936898093
BaseRepresentation
bin1001111101110010111…
…10111001111101000000
31012201211102220212101201
410332321132321331000
521102231030144130
6421145234510544
733511226360455
oct4767136717500
91181742825351
10342414303040
11122242a46a07
1256441a35454
132639c137144
141280421382c
158d910e4bca
hex4fb97b9f40

342414303040 has 56 divisors (see below), whose sum is σ = 843490428840. Its totient is φ = 132242761728.

The previous prime is 342414303001. The next prime is 342414303067. The reversal of 342414303040 is 40303414243.

It can be written as a sum of positive squares in 4 ways, for example, as 14946529536 + 327467773504 = 122256^2 + 572248^2 .

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 7 ways as a sum of consecutive naturals, for example, 18439767 + ... + 18458326.

Almost surely, 2342414303040 is an apocalyptic number.

It is an amenable number.

342414303040 is an abundant number, since it is smaller than the sum of its proper divisors (501076125800).

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

342414303040 is a wasteful number, since it uses less digits than its factorization.

342414303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36898139 (or 36898129 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 342414303040 its reverse (40303414243), we get a palindrome (382717717283).

The spelling of 342414303040 in words is "three hundred forty-two billion, four hundred fourteen million, three hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 36898093 73796186 147592372 184490465 295184744 368980930 590369488 737961860 1070044697 1180738976 1475923720 2140089394 2361477952 2951847440 4280178788 5350223485 5903694880 8560357576 10700446970 11807389760 17120715152 21400893940 34241430304 42801787880 68482860608 85603575760 171207151520 342414303040