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3106887840 = 253457231489
BaseRepresentation
bin1011100100101111…
…0101100010100000
322000112011020220000
42321023311202200
522330330402330
61232143220000
7136664053020
oct27113654240
98015136800
103106887840
111354836901
127285a7600
133a689a194
142168aba80
15132b59560
hexb92f58a0

3106887840 has 480 divisors, whose sum is σ = 13084727040. Its totient is φ = 678813696.

The previous prime is 3106887821. The next prime is 3106887869. The reversal of 3106887840 is 487886013.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2085816 + ... + 2087304.

It is an arithmetic number, because the mean of its divisors is an integer number (27259848).

Almost surely, 23106887840 is an apocalyptic number.

3106887840 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 3106887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6542363520).

3106887840 is an abundant number, since it is smaller than the sum of its proper divisors (9977839200).

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

3106887840 is a wasteful number, since it uses less digits than its factorization.

3106887840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 3106887840 is about 55739.4639371424. The cubic root of 3106887840 is about 1459.1788464298.

The spelling of 3106887840 in words is "three billion, one hundred six million, eight hundred eighty-seven thousand, eight hundred forty".