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3386916687 = 371121931273
BaseRepresentation
bin1100100111100000…
…0011111101001111
322202001002012020210
43021320003331033
523414022313222
61320025213503
7146634213450
oct31170037517
98661065223
103386916687
11148890a700
127a6331293
1341c8c4a1b
14241b63127
1514c520d0c
hexc9e03f4f

3386916687 has 144 divisors (see below), whose sum is σ = 6254787840. Its totient is φ = 1590969600.

The previous prime is 3386916683. The next prime is 3386916691. The reversal of 3386916687 is 7866196833.

It is an interprime number because it is at equal distance from previous prime (3386916683) and next prime (3386916691).

It is not a de Polignac number, because 3386916687 - 22 = 3386916683 is a prime.

It is a super-2 number, since 2×33869166872 = 22942409289358111938, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (7838208) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386916683) 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, 46396083 + ... + 46396155.

Almost surely, 23386916687 is an apocalyptic number.

3386916687 is a deficient number, since it is larger than the sum of its proper divisors (2867871153).

3386916687 is a wasteful number, since it uses less digits than its factorization.

3386916687 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 144 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 57.

The square root of 3386916687 is about 58197.2223306233. Note that the first 3 decimals coincide. The cubic root of 3386916687 is about 1501.7633613367.

The spelling of 3386916687 in words is "three billion, three hundred eighty-six million, nine hundred sixteen thousand, six hundred eighty-seven".

Divisors: 1 3 7 11 19 21 31 33 57 73 77 93 121 133 209 217 219 231 341 363 399 511 589 627 651 803 847 961 1023 1387 1463 1533 1767 2263 2299 2387 2409 2541 2883 3751 4123 4161 4389 5621 6479 6727 6789 6897 7161 8833 9709 10571 11253 12369 15257 15841 16093 16863 18259 19437 20181 24893 26257 26499 29127 31713 42997 45353 45771 47523 48279 54777 61831 70153 71269 73997 74679 78771 106799 116281 127813 128991 136059 167827 174251 185493 200849 210459 213807 221991 273823 300979 320397 348843 383439 472967 491071 498883 503481 522753 602547 771683 813967 821469 902937 1174789 1332907 1405943 1418901 1473213 1496649 1916761 2209339 2315049 2441901 3310769 3524367 3998721 4217829 5202637 5401781 5750283 6628017 8488513 9330349 9932307 14661977 15465373 15607911 16205343 25465539 27991047 36418459 43985931 46396119 59419591 102633839 109255377 161281747 178258773 307901517 483845241 1128972229 3386916687