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3326660640 = 2532517135893
BaseRepresentation
bin1100011001001000…
…1101000000100000
322120211200212111100
43012102031000200
523303111120030
61310033514400
7145303102032
oct30622150040
98524625440
103326660640
1114578a4416
1278a112a00
13410288364
14237b59c52
151470bc360
hexc648d020

3326660640 has 144 divisors (see below), whose sum is σ = 12020096088. Its totient is φ = 834920448.

The previous prime is 3326660633. The next prime is 3326660647. The reversal of 3326660640 is 460666233.

It is an interprime number because it is at equal distance from previous prime (3326660633) and next prime (3326660647).

It can be written as a sum of positive squares in 4 ways, for example, as 2410024464 + 916636176 = 49092^2 + 30276^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33266606402 = 22133342027450419200, 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 = 3326660595 and 3326660604.

It is not an unprimeable number, because it can be changed into a prime (3326660647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43467 + ... + 92426.

Almost surely, 23326660640 is an apocalyptic number.

3326660640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3326660640 is an abundant number, since it is smaller than the sum of its proper divisors (8693435448).

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

3326660640 is a wasteful number, since it uses less digits than its factorization.

3326660640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135931 (or 135920 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3326660640 is about 57677.2107508676. The cubic root of 3326660640 is about 1492.8041483465.

The spelling of 3326660640 in words is "three billion, three hundred twenty-six million, six hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 24480 135893 271786 407679 543572 679465 815358 1087144 1223037 1358930 1630716 2038395 2174288 2310181 2446074 2717860 3261432 4076790 4348576 4620362 4892148 5435720 6115185 6522864 6930543 8153580 9240724 9784296 10871440 11550905 12230370 13045728 13861086 16307160 18481448 19568592 20791629 21742880 23101810 24460740 27722172 32614320 34652715 36962896 39137184 41583258 46203620 48921480 55444344 65228640 69305430 73925792 83166516 92407240 97842960 103958145 110888688 138610860 166333032 184814480 195685920 207916290 221777376 277221720 332666064 369628960 415832580 554443440 665332128 831665160 1108886880 1663330320 3326660640