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3482640720 = 24325131919583
BaseRepresentation
bin1100111110010100…
…1110000101010000
322222201012110221100
43033211032011100
524113024000340
61333325024400
7152205646326
oct31745160520
98881173840
103482640720
111527950579
128123b5100
1343669c170
1425075dd16
15155b2d830
hexcf94e150

3482640720 has 240 divisors, whose sum is σ = 13259151360. Its totient is φ = 812104704.

The previous prime is 3482640713. The next prime is 3482640727. The reversal of 3482640720 is 270462843.

3482640720 is a `hidden beast` number, since 3 + 4 + 8 + 2 + 640 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3482640713) and next prime (3482640727).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3482640727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168049 + ... + 187631.

It is an arithmetic number, because the mean of its divisors is an integer number (55246464).

Almost surely, 23482640720 is an apocalyptic number.

3482640720 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 3482640720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629575680).

3482640720 is an abundant number, since it is smaller than the sum of its proper divisors (9776510640).

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

3482640720 is a wasteful number, since it uses less digits than its factorization.

3482640720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19634 (or 19625 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3482640720 is about 59013.9027687544. The cubic root of 3482640720 is about 1515.7801817626.

The spelling of 3482640720 in words is "three billion, four hundred eighty-two million, six hundred forty thousand, seven hundred twenty".