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415347272340 = 22357111367103217
BaseRepresentation
bin1100000101101001010…
…00000110101010010100
31110201002021011120202220
412002310220012222110
523301112400203330
6514450301302340
742002456364150
oct6026450065224
91421067146686
10415347272340
11150169786250
12685b6b649b0
13302230c6b90
1416162584060
15ac0de58710
hex60b4a06a94

415347272340 has 384 divisors, whose sum is σ = 1584794308608. Its totient is φ = 78477189120.

The previous prime is 415347272323. The next prime is 415347272341. The reversal of 415347272340 is 43272743514.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 415347272292 and 415347272301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415347272341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3972412 + ... + 4075628.

It is an arithmetic number, because the mean of its divisors is an integer number (4127068512).

Almost surely, 2415347272340 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 415347272340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792397154304).

415347272340 is an abundant number, since it is smaller than the sum of its proper divisors (1169447036268).

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

415347272340 is a wasteful number, since it uses less digits than its factorization.

415347272340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103327 (or 103325 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The spelling of 415347272340 in words is "four hundred fifteen billion, three hundred forty-seven million, two hundred seventy-two thousand, three hundred forty".