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3249016740 = 2232529837499
BaseRepresentation
bin1100000110101000…
…0000111110100100
322101102121011002100
43001222000332210
523123222013430
61254221412100
7143341121004
oct30152007644
98342534070
103249016740
111417a92402
1276810a030
133ca171518
1422b708004
15140381960
hexc1a80fa4

3249016740 has 144 divisors (see below), whose sum is σ = 10319400000. Its totient is φ = 826339584.

The previous prime is 3249016703. The next prime is 3249016753. The reversal of 3249016740 is 476109423.

3249016740 is a `hidden beast` number, since 3 + 2 + 490 + 167 + 4 + 0 = 666.

It is a super-2 number, since 2×32490167402 = 21112219553600455200, 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 = 3249016695 and 3249016704.

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 47 ways as a sum of consecutive naturals, for example, 429511 + ... + 437009.

It is an arithmetic number, because the mean of its divisors is an integer number (71662500).

Almost surely, 23249016740 is an apocalyptic number.

3249016740 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 3249016740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159700000).

3249016740 is an abundant number, since it is smaller than the sum of its proper divisors (7070383260).

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

3249016740 is a wasteful number, since it uses less digits than its factorization.

3249016740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626 (or 7621 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3249016740 is about 57000.1468419161. The cubic root of 3249016740 is about 1481.0986394503.

The spelling of 3249016740 in words is "three billion, two hundred forty-nine million, sixteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 83 87 90 116 145 166 174 180 249 261 290 332 348 415 435 498 522 580 747 830 870 996 1044 1245 1305 1494 1660 1740 2407 2490 2610 2988 3735 4814 4980 5220 7221 7470 7499 9628 12035 14442 14940 14998 21663 22497 24070 28884 29996 36105 37495 43326 44994 48140 67491 72210 74990 86652 89988 108315 112485 134982 144420 149980 216630 217471 224970 269964 337455 433260 434942 449940 622417 652413 674910 869884 1087355 1244834 1304826 1349820 1867251 1957239 2174710 2489668 2609652 3112085 3262065 3734502 3914478 4349420 5601753 6224170 6524130 7469004 7828956 9336255 9786195 11203506 12448340 13048260 18050093 18672510 19572390 22407012 28008765 36100186 37345020 39144780 54150279 56017530 72200372 90250465 108300558 112035060 162450837 180500930 216601116 270751395 324901674 361001860 541502790 649803348 812254185 1083005580 1624508370 3249016740