Search a number
-
+
3663435630 = 2352313274001
BaseRepresentation
bin1101101001011011…
…1001011101101110
3100110022101210221010
43122112321131232
530000314420010
61403304050050
7156532455231
oct33226713556
910408353833
103663435630
11160aa06458
12862a63926
13464c90aba
1426a783418
15166942620
hexda5b976e

3663435630 has 64 divisors (see below), whose sum is σ = 9183725568. Its totient is φ = 933504000.

The previous prime is 3663435499. The next prime is 3663435647. The reversal of 3663435630 is 365343663.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 913630 + ... + 917630.

It is an arithmetic number, because the mean of its divisors is an integer number (143495712).

Almost surely, 23663435630 is an apocalyptic number.

3663435630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3663435630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591862784).

3663435630 is an abundant number, since it is smaller than the sum of its proper divisors (5520289938).

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

3663435630 is a wasteful number, since it uses less digits than its factorization.

3663435630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5361.

The product of its (nonzero) digits is 349920, while the sum is 39.

The square root of 3663435630 is about 60526.3217947365. The cubic root of 3663435630 is about 1541.5685976608.

The spelling of 3663435630 in words is "three billion, six hundred sixty-three million, four hundred thirty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 1327 2654 3981 4001 6635 7962 8002 12003 13270 19905 20005 24006 30521 39810 40010 60015 61042 91563 92023 120030 152605 183126 184046 276069 305210 457815 460115 552138 915630 920230 1380345 2760690 5309327 10618654 15927981 26546635 31855962 53093270 79639905 122114521 159279810 244229042 366343563 610572605 732687126 1221145210 1831717815 3663435630