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3390682449 = 3721121979127
BaseRepresentation
bin1100101000011001…
…1011010101010001
322202022011111220110
43022012123111101
523421003314244
61320242031533
7150011216400
oct31206332521
98668144813
103390682449
11148aa51a00
127a76485a9
13420612a9b
14242463637
1514ca169b9
hexca19b551

3390682449 has 144 divisors (see below), whose sum is σ = 6210355200. Its totient is φ = 1634592960.

The previous prime is 3390682439. The next prime is 3390682457. The reversal of 3390682449 is 9442860933.

It is not a de Polignac number, because 3390682449 - 28 = 3390682193 is a prime.

It is a super-2 number, since 2×33906824492 = 22993454939913275202, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3390682398 and 3390682407.

It is not an unprimeable number, because it can be changed into a prime (3390682439) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26698224 + ... + 26698350.

Almost surely, 23390682449 is an apocalyptic number.

It is an amenable number.

3390682449 is a deficient number, since it is larger than the sum of its proper divisors (2819672751).

3390682449 is a wasteful number, since it uses less digits than its factorization.

3390682449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The square root of 3390682449 is about 58229.5667938548. The cubic root of 3390682449 is about 1502.3197364769.

The spelling of 3390682449 in words is "three billion, three hundred ninety million, six hundred eighty-two thousand, four hundred forty-nine".

Divisors: 1 3 7 11 19 21 33 49 57 77 79 121 127 133 147 209 231 237 363 381 399 539 553 627 847 869 889 931 1397 1463 1501 1617 1659 2299 2413 2541 2607 2667 2793 3871 4191 4389 4503 5929 6083 6223 6897 7239 9559 9779 10033 10241 10507 11613 15367 16093 16511 16891 17787 18249 18669 26543 28677 29337 30099 30723 31521 42581 46101 48279 49533 50673 66913 68453 70231 73549 79629 107569 110363 112651 115577 118237 127743 181621 185801 190627 200739 205359 210693 220647 291973 322707 331089 337953 346731 354711 468391 491617 544863 557403 571881 752983 772541 809039 875919 1213993 1271347 1300607 1334389 1405173 1474851 2043811 2096897 2258949 2317623 2427117 3641979 3814041 3901821 4003167 5407787 6131433 6290691 8497951 8899429 9340723 14306677 14678279 16223361 23065867 25493853 26698287 28022169 42920031 44034837 59485657 69197601 102747953 161461069 178456971 308243859 484383207 1130227483 3390682449