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4429043346 = 2371323312367
BaseRepresentation
bin1000001111111110…
…11101011010010010
3102102200000201021110
410013333131122102
533032313341341
62011253434150
7214520150550
oct40777353222
912380021243
104429043346
111973096902
12a3733b956
13557791710
14300318bd0
151adc74216
hex107fdd692

4429043346 has 192 divisors, whose sum is σ = 11787116544. Its totient is φ = 1078323840.

The previous prime is 4429043263. The next prime is 4429043351. The reversal of 4429043346 is 6433409244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon 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 95 ways as a sum of consecutive naturals, for example, 12068055 + ... + 12068421.

It is an arithmetic number, because the mean of its divisors is an integer number (61391232).

Almost surely, 24429043346 is an apocalyptic number.

4429043346 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4429043346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5893558272).

4429043346 is an abundant number, since it is smaller than the sum of its proper divisors (7358073198).

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

4429043346 is a wasteful number, since it uses less digits than its factorization.

4429043346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The square root of 4429043346 is about 66551.0581884315. The cubic root of 4429043346 is about 1642.2400662685.

The spelling of 4429043346 in words is "four billion, four hundred twenty-nine million, forty-three thousand, three hundred forty-six".