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434984062380 = 2235719533113307
BaseRepresentation
bin1100101010001110001…
…00100000110110101100
31112120202210020212121220
412111013010200312230
524111321404444010
6531455014023340
743266211344660
oct6250704406654
91476683225556
10434984062380
1115852618824a
1270377347b50
133203247197a
14170a65208a0
15b4acd7b970
hex6547120dac

434984062380 has 384 divisors, whose sum is σ = 1498107985920. Its totient is φ = 92089820160.

The previous prime is 434984062367. The next prime is 434984062423. The reversal of 434984062380 is 83260489434.

It is a super-2 number, since 2×4349840623802 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131532687 + ... + 131535993.

It is an arithmetic number, because the mean of its divisors is an integer number (3901322880).

Almost surely, 2434984062380 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 434984062380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749053992960).

434984062380 is an abundant number, since it is smaller than the sum of its proper divisors (1063123923540).

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

434984062380 is a wasteful number, since it uses less digits than its factorization.

434984062380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 434984062380 in words is "four hundred thirty-four billion, nine hundred eighty-four million, sixty-two thousand, three hundred eighty".