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3390522480 = 2432543971129
BaseRepresentation
bin1100101000010111…
…0100010001110000
322202021212101110200
43022011310101300
523420433204410
61320234355200
7150006652122
oct31205642160
98667771420
103390522480
11148a9527a4
127a758bb00
13420588027
14242421212
1514c9d43c0
hexca174470

3390522480 has 240 divisors, whose sum is σ = 11781850080. Its totient is φ = 873234432.

The previous prime is 3390522479. The next prime is 3390522493. The reversal of 3390522480 is 842250933.

3390522480 is a `hidden beast` number, since 3 + 3 + 90 + 522 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×33905224802 = 22991285374770700800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3002556 + ... + 3003684.

It is an arithmetic number, because the mean of its divisors is an integer number (49091042).

Almost surely, 23390522480 is an apocalyptic number.

3390522480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3390522480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5890925040).

3390522480 is an abundant number, since it is smaller than the sum of its proper divisors (8391327600).

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

3390522480 is a wasteful number, since it uses less digits than its factorization.

3390522480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3390522480 is about 58228.1931713496. The cubic root of 3390522480 is about 1502.2961101255.

The spelling of 3390522480 in words is "three billion, three hundred ninety million, five hundred twenty-two thousand, four hundred eighty".