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2330012440 = 2357103173467
BaseRepresentation
bin1000101011100001…
…0010101100011000
320000101022220012001
42022320102230120
514232440344230
61023112130344
7111511531120
oct21270225430
96011286161
102330012440
11a9625a918
125503969b4
132b19529b2
14181641c80
15d984e0ca
hex8ae12b18

2330012440 has 128 divisors (see below), whose sum is σ = 6097628160. Its totient is φ = 784848384.

The previous prime is 2330012431. The next prime is 2330012471. The reversal of 2330012440 is 442100332.

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, 4989087 + ... + 4989553.

It is an arithmetic number, because the mean of its divisors is an integer number (47637720).

Almost surely, 22330012440 is an apocalyptic number.

2330012440 is a gapful number since it is divisible by the number (20) 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 2330012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048814080).

2330012440 is an abundant number, since it is smaller than the sum of its proper divisors (3767615720).

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

2330012440 is a wasteful number, since it uses less digits than its factorization.

2330012440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2330012440 is about 48270.2024027246. The cubic root of 2330012440 is about 1325.7228646119.

Adding to 2330012440 its reverse (442100332), we get a palindrome (2772112772).

The spelling of 2330012440 in words is "two billion, three hundred thirty million, twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 103 140 173 206 280 346 412 467 515 692 721 824 865 934 1030 1211 1384 1442 1730 1868 2060 2335 2422 2884 3269 3460 3605 3736 4120 4670 4844 5768 6055 6538 6920 7210 9340 9688 12110 13076 14420 16345 17819 18680 24220 26152 28840 32690 35638 48101 48440 65380 71276 80791 89095 96202 124733 130760 142552 161582 178190 192404 240505 249466 323164 336707 356380 384808 403955 481010 498932 565537 623665 646328 673414 712760 807910 962020 997864 1131074 1247330 1346828 1615820 1683535 1924040 2262148 2494660 2693656 2827685 3231640 3367070 4524296 4989320 5655370 6734140 8321473 11310740 13468280 16642946 22621480 33285892 41607365 58250311 66571784 83214730 116500622 166429460 233001244 291251555 332858920 466002488 582503110 1165006220 2330012440