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352422004440 = 233511472120863
BaseRepresentation
bin1010010000011011111…
…11010000011011011000
31020200122220011202212010
411020031333100123120
521233230013120230
6425522254345520
734314226416462
oct5101577203330
91220586152763
10352422004440
11126509041110
12583754bb2a0
13273055bcb4c
14130b33bd132
1592799c49b0
hex520dfd06d8

352422004440 has 192 divisors, whose sum is σ = 1178453007360. Its totient is φ = 83617166080.

The previous prime is 352422004433. The next prime is 352422004531. The reversal of 352422004440 is 44400224253.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 352422004398 and 352422004407.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2855449 + ... + 2976311.

It is an arithmetic number, because the mean of its divisors is an integer number (6137776080).

Almost surely, 2352422004440 is an apocalyptic number.

352422004440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352422004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589226503680).

352422004440 is an abundant number, since it is smaller than the sum of its proper divisors (826031002920).

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

352422004440 is a wasteful number, since it uses less digits than its factorization.

352422004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120982 (or 120931 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 352422004440 its reverse (44400224253), we get a palindrome (396822228693).

The spelling of 352422004440 in words is "three hundred fifty-two billion, four hundred twenty-two million, four thousand, four hundred forty".