Search a number
-
+
3486030912 = 263372133167
BaseRepresentation
bin1100111111001000…
…1001110001000000
322222221120201102000
43033302021301000
524114410442122
61333525424000
7152246526300
oct31762116100
98887521360
103486030912
111529856691
1281356b000
134372b82b0
14250da3600
1515609d0ac
hexcfc89c40

3486030912 has 336 divisors, whose sum is σ = 12842565120. Its totient is φ = 919102464.

The previous prime is 3486030893. The next prime is 3486030967. The reversal of 3486030912 is 2190306843.

3486030912 is a `hidden beast` number, since 3 + 48 + 603 + 0 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1099153 + ... + 1102319.

It is an arithmetic number, because the mean of its divisors is an integer number (38221920).

Almost surely, 23486030912 is an apocalyptic number.

3486030912 is a gapful number since it is divisible by the number (32) 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 3486030912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6421282560).

3486030912 is an abundant number, since it is smaller than the sum of its proper divisors (9356534208).

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

3486030912 is a wasteful number, since it uses less digits than its factorization.

3486030912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3486030912 is about 59042.6194540859. The cubic root of 3486030912 is about 1516.2718698907.

The spelling of 3486030912 in words is "three billion, four hundred eighty-six million, thirty thousand, nine hundred twelve".