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3123302424 = 23311174871429
BaseRepresentation
bin1011101000101001…
…1101000000011000
322001200001012110120
42322022131000120
522344031134144
61233531113240
7140253426654
oct27212350030
98050035416
103123302424
111363028380
12731ba2820
133aa0c6658
14218b41a64
151342ece19
hexba29d018

3123302424 has 128 divisors (see below), whose sum is σ = 9044006400. Its totient is φ = 888330240.

The previous prime is 3123302381. The next prime is 3123302447. The reversal of 3123302424 is 4242033213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3123302394 and 3123302403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2184942 + ... + 2186370.

It is an arithmetic number, because the mean of its divisors is an integer number (70656300).

Almost surely, 23123302424 is an apocalyptic number.

3123302424 is a gapful number since it is divisible by the number (34) 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 3123302424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4522003200).

3123302424 is an abundant number, since it is smaller than the sum of its proper divisors (5920703976).

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

3123302424 is a wasteful number, since it uses less digits than its factorization.

3123302424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3123302424 is about 55886.5137935799. The cubic root of 3123302424 is about 1461.7440882309.

Adding to 3123302424 its reverse (4242033213), we get a palindrome (7365335637).

The spelling of 3123302424 in words is "three billion, one hundred twenty-three million, three hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 487 561 748 974 1122 1429 1461 1496 1948 2244 2858 2922 3896 4287 4488 5357 5716 5844 8279 8574 10714 11432 11688 15719 16071 16558 17148 21428 24293 24837 31438 32142 33116 34296 42856 47157 48586 49674 62876 64284 66232 72879 91069 94314 97172 99348 125752 128568 145758 182138 188628 194344 198696 267223 273207 291516 364276 377256 534446 546414 583032 695923 728552 801669 1068892 1092828 1391846 1603338 2087769 2137784 2185656 2783692 3206676 4175538 5567384 6413352 7655153 8351076 11830691 15310306 16702152 22965459 23661382 30620612 35492073 45930918 47322764 61241224 70984146 91861836 94645528 130137601 141968292 183723672 260275202 283936584 390412803 520550404 780825606 1041100808 1561651212 3123302424