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418663344 = 243117910037
BaseRepresentation
bin11000111101000…
…100101110110000
31002011210022010210
4120331010232300
51324134211334
6105313224120
713242402561
oct3075045660
91064708123
10418663344
111a5362a70
12b8262040
13689774b8
143d862168
1526b4d5e9
hex18f44bb0

418663344 has 80 divisors (see below), whose sum is σ = 1194923520. Its totient is φ = 125249280.

The previous prime is 418663331. The next prime is 418663367. The reversal of 418663344 is 443366814.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36694 + ... + 46730.

It is an arithmetic number, because the mean of its divisors is an integer number (14936544).

Almost surely, 2418663344 is an apocalyptic number.

418663344 is a gapful number since it is divisible by the number (44) 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 418663344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597461760).

418663344 is an abundant number, since it is smaller than the sum of its proper divisors (776260176).

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

418663344 is a wasteful number, since it uses less digits than its factorization.

418663344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10138 (or 10132 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 418663344 is about 20461.2644770552. The cubic root of 418663344 is about 748.0919463359.

The spelling of 418663344 in words is "four hundred eighteen million, six hundred sixty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 132 158 176 237 264 316 474 528 632 869 948 1264 1738 1896 2607 3476 3792 5214 6952 10037 10428 13904 20074 20856 30111 40148 41712 60222 80296 110407 120444 160592 220814 240888 331221 441628 481776 662442 792923 883256 1324884 1585846 1766512 2378769 2649768 3171692 4757538 5299536 6343384 8722153 9515076 12686768 17444306 19030152 26166459 34888612 38060304 52332918 69777224 104665836 139554448 209331672 418663344