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3436222020 = 2235731143353
BaseRepresentation
bin1100110011010000…
…1001011001000100
322212110212011110020
43030310021121010
524014133101040
61324550055140
7151103256000
oct31464113104
98773764406
103436222020
111503726510
127ba94a4b0
13429b98b8a
14248519700
15151a0ecd0
hexccd09644

3436222020 has 384 divisors, whose sum is σ = 12560486400. Its totient is φ = 695439360.

The previous prime is 3436222007. The next prime is 3436222021. The reversal of 3436222020 is 202226343.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3436222021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9734164 + ... + 9734516.

It is an arithmetic number, because the mean of its divisors is an integer number (32709600).

Almost surely, 23436222020 is an apocalyptic number.

3436222020 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 3436222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6280243200).

3436222020 is an abundant number, since it is smaller than the sum of its proper divisors (9124264380).

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

3436222020 is a wasteful number, since it uses less digits than its factorization.

3436222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3436222020 is about 58619.2973345809. The cubic root of 3436222020 is about 1509.0156325714.

Adding to 3436222020 its reverse (202226343), we get a palindrome (3638448363).

It can be divided in two parts, 3436 and 222020, that added together give a triangular number (225456 = T671).

The spelling of 3436222020 in words is "three billion, four hundred thirty-six million, two hundred twenty-two thousand, twenty".