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3780630 = 2325717353
BaseRepresentation
bin1110011011000000010110
321010002001100
432123000112
51431440010
6213010530
744064150
oct16330026
97102040
103780630
112152497
121323a46
13a24a79
14705ad0
154ea2c0
hex39b016

3780630 has 96 divisors (see below), whose sum is σ = 11928384. Its totient is φ = 811008.

The previous prime is 3780619. The next prime is 3780653. The reversal of 3780630 is 360873.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3780594 and 3780603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10534 + ... + 10886.

It is an arithmetic number, because the mean of its divisors is an integer number (124254).

Almost surely, 23780630 is an apocalyptic number.

3780630 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 3780630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964192).

3780630 is an abundant number, since it is smaller than the sum of its proper divisors (8147754).

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

3780630 is a wasteful number, since it uses less digits than its factorization.

3780630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3780630 is about 1944.3842212896. The cubic root of 3780630 is about 155.7834767316.

The spelling of 3780630 in words is "three million, seven hundred eighty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 353 357 510 595 630 706 714 765 1059 1071 1190 1530 1765 1785 2118 2142 2471 3177 3530 3570 4942 5295 5355 6001 6354 7413 10590 10710 12002 12355 14826 15885 18003 22239 24710 30005 31770 36006 37065 42007 44478 54009 60010 74130 84014 90015 108018 111195 126021 180030 210035 222390 252042 270045 378063 420070 540090 630105 756126 1260210 1890315 3780630