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3014411220 = 2233544312601
BaseRepresentation
bin1011001110101100…
…0100001111010100
321210002010221211000
42303223010033110
522133142124340
61215041143300
7134462033622
oct26353041724
97702127730
103014411220
111307613847
1270162ab30
1339068bba2
142084b8512
1512998dd30
hexb3ac43d4

3014411220 has 96 divisors (see below), whose sum is σ = 9400083840. Its totient is φ = 801964800.

The previous prime is 3014411207. The next prime is 3014411251. The reversal of 3014411220 is 221144103.

3014411220 is a `hidden beast` number, since 3 + 0 + 1 + 441 + 1 + 220 = 666.

3014411220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3014411193 and 3014411202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232920 + ... + 245520.

It is an arithmetic number, because the mean of its divisors is an integer number (97917540).

Almost surely, 23014411220 is an apocalyptic number.

3014411220 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 3014411220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700041920).

3014411220 is an abundant number, since it is smaller than the sum of its proper divisors (6385672620).

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

3014411220 is a wasteful number, since it uses less digits than its factorization.

3014411220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13062 (or 13054 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3014411220 is about 54903.6539767619. The cubic root of 3014411220 is about 1444.5552795469. Note that the first 3 decimals are identical.

Adding to 3014411220 its reverse (221144103), we get a palindrome (3235555323).

The spelling of 3014411220 in words is "three billion, fourteen million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 443 540 886 1329 1772 2215 2658 3987 4430 5316 6645 7974 8860 11961 12601 13290 15948 19935 23922 25202 26580 37803 39870 47844 50404 59805 63005 75606 79740 113409 119610 126010 151212 189015 226818 239220 252020 340227 378030 453636 567045 680454 756060 1134090 1360908 1701135 2268180 3402270 5582243 6804540 11164486 16746729 22328972 27911215 33493458 50240187 55822430 66986916 83733645 100480374 111644860 150720561 167467290 200960748 251200935 301441122 334934580 502401870 602882244 753602805 1004803740 1507205610 3014411220