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4348970496 = 293213193821
BaseRepresentation
bin1000000110011100…
…00000011000000000
3102020002100120222100
410003032000120000
532401314023441
61555313310400
7212525432163
oct40316003000
912202316870
104348970496
1119319759a2
12a14565400
13544007130
142d3833ada
151a6c08cb6
hex103380600

4348970496 has 240 divisors, whose sum is σ = 14232057840. Its totient is φ = 1267384320.

The previous prime is 4348970473. The next prime is 4348970503. The reversal of 4348970496 is 6940798434.

It is a happy number.

4348970496 is a `hidden beast` number, since 4 + 3 + 4 + 89 + 70 + 496 = 666.

It is a super-3 number, since 3×43489704963 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

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, 1136266 + ... + 1140086.

It is an arithmetic number, because the mean of its divisors is an integer number (59300241).

Almost surely, 24348970496 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 4348970496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7116028920).

4348970496 is an abundant number, since it is smaller than the sum of its proper divisors (9883087344).

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

4348970496 is a wasteful number, since it uses less digits than its factorization.

4348970496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 4348970496 is about 65946.7246798505. The cubic root of 4348970496 is about 1632.2831112074.

The spelling of 4348970496 in words is "four billion, three hundred forty-eight million, nine hundred seventy thousand, four hundred ninety-six".