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3484543680 = 263257117041
BaseRepresentation
bin1100111110110001…
…1110101011000000
322222211210011022100
43033230132223000
524114020344210
61333433510400
7152231063322
oct31754365300
98884704270
103484543680
111528a30272
12812b72400
13436bb7387
14250ad7612
15155da75c0
hexcfb1eac0

3484543680 has 168 divisors, whose sum is σ = 12154899744. Its totient is φ = 916070400.

The previous prime is 3484543649. The next prime is 3484543693. The reversal of 3484543680 is 863454843.

3484543680 is a `hidden beast` number, since 3 + 48 + 4 + 543 + 68 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195960 + ... + 213000.

Almost surely, 23484543680 is an apocalyptic number.

3484543680 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 3484543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6077449872).

3484543680 is an abundant number, since it is smaller than the sum of its proper divisors (8670356064).

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

3484543680 is a wasteful number, since it uses less digits than its factorization.

3484543680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17135 (or 17122 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 3484543680 is about 59030.0235473441. The cubic root of 3484543680 is about 1516.0562121349.

The spelling of 3484543680 in words is "three billion, four hundred eighty-four million, five hundred forty-three thousand, six hundred eighty".