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4349740032 = 2103211107401
BaseRepresentation
bin1000000110100001…
…11100010000000000
3102020010210200120200
410003100330100000
532402013140112
61555342005200
7212535115551
oct40320742000
912203720520
104349740032
111932351080
12a14876800
13544216491
142d3994328
151a6d0bcdc
hex10343c400

4349740032 has 264 divisors, whose sum is σ = 13864118112. Its totient is φ = 1302528000.

The previous prime is 4349740027. The next prime is 4349740063. The reversal of 4349740032 is 2300479434.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×43497400322 = 37840476691966722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10847032 + ... + 10847432.

Almost surely, 24349740032 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 4349740032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6932059056).

4349740032 is an abundant number, since it is smaller than the sum of its proper divisors (9514378080).

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

4349740032 is a wasteful number, since it uses less digits than its factorization.

4349740032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4349740032 is about 65952.5589495965. The cubic root of 4349740032 is about 1632.3793812355.

The spelling of 4349740032 in words is "four billion, three hundred forty-nine million, seven hundred forty thousand, thirty-two".