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414182940 = 223531222679
BaseRepresentation
bin11000101011111…
…110111000011100
31001212100200011220
4120223332320130
51322012323230
6105033213340
713156332303
oct3053767034
91055320156
10414182940
111a2882856
12b6861250
1367a69082
143d01743a
1526565d10
hex18afee1c

414182940 has 48 divisors (see below), whose sum is σ = 1197127680. Its totient is φ = 106885440.

The previous prime is 414182929. The next prime is 414182953. The reversal of 414182940 is 49281414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109480 + ... + 113199.

It is an arithmetic number, because the mean of its divisors is an integer number (24940160).

Almost surely, 2414182940 is an apocalyptic number.

It is an amenable number.

414182940 is an abundant number, since it is smaller than the sum of its proper divisors (782944740).

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

414182940 is a wasteful number, since it uses less digits than its factorization.

414182940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222722 (or 222720 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 414182940 is about 20351.4849581056. The cubic root of 414182940 is about 745.4137545235.

The spelling of 414182940 in words is "four hundred fourteen million, one hundred eighty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 222679 445358 668037 890716 1113395 1336074 2226790 2672148 3340185 4453580 6680370 6903049 13360740 13806098 20709147 27612196 34515245 41418294 69030490 82836588 103545735 138060980 207091470 414182940