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3481539840 = 28335131769
BaseRepresentation
bin1100111110000100…
…0001010100000000
322222122010112211000
43033201001110000
524112233233330
61333245252000
7152163412632
oct31741012400
98878115730
103481539840
111527269459
12811b64000
134363a505c
14250554a52
151559b2560
hexcf841500

3481539840 has 288 divisors, whose sum is σ = 12465129600. Its totient is φ = 920125440.

The previous prime is 3481539833. The next prime is 3481539857. The reversal of 3481539840 is 489351843.

3481539840 is a `hidden beast` number, since 34 + 8 + 1 + 539 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×34815398402 = 24242239315014451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4526976 + ... + 4527744.

It is an arithmetic number, because the mean of its divisors is an integer number (43281700).

Almost surely, 23481539840 is an apocalyptic number.

3481539840 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 3481539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6232564800).

3481539840 is an abundant number, since it is smaller than the sum of its proper divisors (8983589760).

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

3481539840 is a wasteful number, since it uses less digits than its factorization.

3481539840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3481539840 is about 59004.5747378964. The cubic root of 3481539840 is about 1515.6204497203.

The spelling of 3481539840 in words is "three billion, four hundred eighty-one million, five hundred thirty-nine thousand, eight hundred forty".