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3298029504 = 263711415441
BaseRepresentation
bin1100010010010011…
…1110111111000000
322111211211020221220
43010210332333000
523223243421004
61303132115040
7144504534240
oct30444767700
98454736856
103298029504
111442719420
12780605a80
13407372463
14234025b20
15144813dd9
hexc493efc0

3298029504 has 224 divisors, whose sum is σ = 11146609152. Its totient is φ = 835584000.

The previous prime is 3298029503. The next prime is 3298029583. The reversal of 3298029504 is 4059208923.

3298029504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3298029503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 603424 + ... + 608864.

It is an arithmetic number, because the mean of its divisors is an integer number (49761648).

Almost surely, 23298029504 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 3298029504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573304576).

3298029504 is an abundant number, since it is smaller than the sum of its proper divisors (7848579648).

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

3298029504 is a wasteful number, since it uses less digits than its factorization.

3298029504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5515 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 3298029504 is about 57428.4729380819. The cubic root of 3298029504 is about 1488.5091620951.

The spelling of 3298029504 in words is "three billion, two hundred ninety-eight million, twenty-nine thousand, five hundred four".