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345630121452 = 22327211148312011
BaseRepresentation
bin1010000011110010010…
…10010001110111101100
31020001010120001100221100
411001321022101313230
521130322302341302
6422440313003100
733654015362400
oct5017112216754
91201116040840
10345630121452
11123643213980
1256b9a9b3490
1326792453985
1412a2b359100
158ecd5b9d1c
hex5079291dec

345630121452 has 216 divisors, whose sum is σ = 1109549593152. Its totient is φ = 89706052800.

The previous prime is 345630121451. The next prime is 345630121471. The reversal of 345630121452 is 254121036543.

345630121452 is a `hidden beast` number, since 3 + 4 + 5 + 630 + 1 + 2 + 14 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (345630121451) 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 71 ways as a sum of consecutive naturals, for example, 28770127 + ... + 28782137.

It is an arithmetic number, because the mean of its divisors is an integer number (5136803672).

Almost surely, 2345630121452 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 345630121452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554774796576).

345630121452 is an abundant number, since it is smaller than the sum of its proper divisors (763919471700).

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

345630121452 is a wasteful number, since it uses less digits than its factorization.

345630121452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13529 (or 13517 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 345630121452 its reverse (254121036543), we get a palindrome (599751157995).

The spelling of 345630121452 in words is "three hundred forty-five billion, six hundred thirty million, one hundred twenty-one thousand, four hundred fifty-two".