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3000663414 = 2337311631571
BaseRepresentation
bin1011001011011010…
…0111110101110110
321202010021111101000
42302312213311312
522121132212124
61213430344130
7134234134560
oct26266476566
97663244330
103000663414
1112aa883921
126b8abb046
1338a8874a8
1420673a330
151286756c9
hexb2da7d76

3000663414 has 128 divisors (see below), whose sum is σ = 7919861760. Its totient is φ = 824061600.

The previous prime is 3000663401. The next prime is 3000663427. The reversal of 3000663414 is 4143660003.

It is an interprime number because it is at equal distance from previous prime (3000663401) and next prime (3000663427).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1909249 + ... + 1910819.

It is an arithmetic number, because the mean of its divisors is an integer number (61873920).

Almost surely, 23000663414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000663414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959930880).

3000663414 is an abundant number, since it is smaller than the sum of its proper divisors (4919198346).

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

3000663414 is a wasteful number, since it uses less digits than its factorization.

3000663414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3000663414 is about 54778.3115292905. The cubic root of 3000663414 is about 1442.3558745337.

The spelling of 3000663414 in words is "three billion, six hundred sixty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 163 186 189 217 279 326 378 434 489 558 651 837 978 1141 1302 1467 1571 1674 1953 2282 2934 3142 3423 3906 4401 4713 5053 5859 6846 8802 9426 10106 10269 10997 11718 14139 15159 20538 21994 28278 30318 30807 32991 35371 42417 45477 48701 61614 65982 70742 84834 90954 97402 98973 106113 136431 146103 197946 212226 256073 272862 292206 296919 318339 340907 438309 512146 593838 636678 681814 768219 876618 955017 1022721 1314927 1536438 1792511 1910034 2045442 2304657 2629854 3068163 3585022 4609314 5377533 6136326 6913971 7938263 9204489 10755066 13827942 15876526 16132599 18408978 23814789 32265198 47629578 48397797 55567841 71444367 96795594 111135682 142888734 166703523 214333101 333407046 428666202 500110569 1000221138 1500331707 3000663414