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3487379490 = 23257217181257
BaseRepresentation
bin1100111111011101…
…0011000000100010
3100000001010020022100
43033313103000202
524120232120430
61334014351230
7152264144100
oct31767230042
910001106270
103487379490
11152a597911
12813abb516
1343766b07a
14251234c70
15156267960
hexcfdd3022

3487379490 has 288 divisors, whose sum is σ = 11273384304. Its totient is φ = 743178240.

The previous prime is 3487379447. The next prime is 3487379513. The reversal of 3487379490 is 949737843.

3487379490 is a `hidden beast` number, since 3 + 4 + 87 + 3 + 79 + 490 = 666.

3487379490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1976424849 + 1510954641 = 44457^2 + 38871^2 .

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13569442 + ... + 13569698.

Almost surely, 23487379490 is an apocalyptic number.

3487379490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3487379490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5636692152).

3487379490 is an abundant number, since it is smaller than the sum of its proper divisors (7786004814).

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

3487379490 is a wasteful number, since it uses less digits than its factorization.

3487379490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3487379490 is about 59054.0387272539. The cubic root of 3487379490 is about 1516.4673689472.

The spelling of 3487379490 in words is "three billion, four hundred eighty-seven million, three hundred seventy-nine thousand, four hundred ninety".