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3049280640 = 2735572801
BaseRepresentation
bin1011010111000000…
…0101010010000000
321212111202111200000
42311300011102000
522221103440030
61222324400000
7135364313010
oct26560052200
97774674600
103049280640
11132526a74a
12711246000
1339797a393
1420cd93c40
1512ca7a860
hexb5c05480

3049280640 has 384 divisors, whose sum is σ = 12483918720. Its totient is φ = 696729600.

The previous prime is 3049280623. The next prime is 3049280653. The reversal of 3049280640 is 460829403.

It is a happy number.

3049280640 is a `hidden beast` number, since 3 + 0 + 4 + 9 + 2 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×30492806402 = 18596224842957619200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3049280595 and 3049280604.

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 47 ways as a sum of consecutive naturals, for example, 1087240 + ... + 1090040.

It is an arithmetic number, because the mean of its divisors is an integer number (32510205).

Almost surely, 23049280640 is an apocalyptic number.

3049280640 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 3049280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241959360).

3049280640 is an abundant number, since it is smaller than the sum of its proper divisors (9434638080).

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

3049280640 is an equidigital number, since it uses as much as digits as its factorization.

3049280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3049280640 is about 55220.2919224446. The cubic root of 3049280640 is about 1450.1039386452.

The spelling of 3049280640 in words is "three billion, forty-nine million, two hundred eighty thousand, six hundred forty".