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3032404140 = 2235293534937
BaseRepresentation
bin1011010010111110…
…1101000010101100
321211100000002110110
42310233231002230
522202243413030
61220522540020
7135101003253
oct26457550254
97740002413
103032404140
111316793127
12707667610
1339431b89c
1420aa3d79a
1512b3451b0
hexb4bed0ac

3032404140 has 96 divisors (see below), whose sum is σ = 8810182080. Its totient is φ = 778387456.

The previous prime is 3032404127. The next prime is 3032404181. The reversal of 3032404140 is 414042303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611752 + ... + 616688.

It is an arithmetic number, because the mean of its divisors is an integer number (91772730).

Almost surely, 23032404140 is an apocalyptic number.

3032404140 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 3032404140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4405091040).

3032404140 is an abundant number, since it is smaller than the sum of its proper divisors (5777777940).

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

3032404140 is a wasteful number, since it uses less digits than its factorization.

3032404140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3032404140 is about 55067.2692259204. The cubic root of 3032404140 is about 1447.4237472546.

Adding to 3032404140 its reverse (414042303), we get a palindrome (3446446443).

The spelling of 3032404140 in words is "three billion, thirty-two million, four hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 353 435 580 706 870 1059 1412 1740 1765 2118 3530 4236 4937 5295 7060 9874 10237 10590 14811 19748 20474 21180 24685 29622 30711 40948 49370 51185 59244 61422 74055 98740 102370 122844 143173 148110 153555 204740 286346 296220 307110 429519 572692 614220 715865 859038 1431730 1718076 1742761 2147595 2863460 3485522 4295190 5228283 6971044 8590380 8713805 10456566 17427610 20913132 26141415 34855220 50540069 52282830 101080138 104565660 151620207 202160276 252700345 303240414 505400690 606480828 758101035 1010801380 1516202070 3032404140