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3814668 = 22331113219
BaseRepresentation
bin1110100011010100001100
321011210202000
432203110030
51434032133
6213432300
744265324
oct16432414
97153660
103814668
112176020
12133b690
13a37400
14714284
15505413
hex3a350c

3814668 has 144 divisors (see below), whose sum is σ = 12297600. Its totient is φ = 1010880.

The previous prime is 3814667. The next prime is 3814691. The reversal of 3814668 is 8664183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

Its product of digits (27648) is a multiple of the sum of its prime divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3814667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200763 + ... + 200781.

It is an arithmetic number, because the mean of its divisors is an integer number (85400).

Almost surely, 23814668 is an apocalyptic number.

3814668 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3814668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148800).

3814668 is an abundant number, since it is smaller than the sum of its proper divisors (8482932).

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

3814668 is a wasteful number, since it uses less digits than its factorization.

3814668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 48 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3814668 is about 1953.1175079856. The cubic root of 3814668 is about 156.2496004256.

It can be divided in two parts, 38 and 14668, that added together give a triangular number (14706 = T171).

The spelling of 3814668 in words is "three million, eight hundred fourteen thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 19 22 26 27 33 36 38 39 44 52 54 57 66 76 78 99 108 114 117 132 143 156 169 171 198 209 228 234 247 286 297 338 342 351 396 418 429 468 494 507 513 572 594 627 676 684 702 741 836 858 988 1014 1026 1188 1254 1287 1404 1482 1521 1716 1859 1881 2028 2052 2223 2508 2574 2717 2964 3042 3211 3718 3762 3861 4446 4563 5148 5434 5577 5643 6084 6422 6669 7436 7524 7722 8151 8892 9126 9633 10868 11154 11286 12844 13338 15444 16302 16731 18252 19266 22308 22572 24453 26676 28899 32604 33462 35321 38532 48906 50193 57798 66924 70642 73359 86697 97812 100386 105963 115596 141284 146718 173394 200772 211926 293436 317889 346788 423852 635778 953667 1271556 1907334 3814668