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241376940 = 223257227367
BaseRepresentation
bin11100110001100…
…01111010101100
3121211012012220200
432120301322230
5443243030230
635541313500
75660445600
oct1630617254
9554165820
10241376940
11114284082
1268a05890
133b0137bc
14240b3500
15162ce160
hexe631eac

241376940 has 108 divisors (see below), whose sum is σ = 851746896. Its totient is φ = 55169856.

The previous prime is 241376921. The next prime is 241376951. The reversal of 241376940 is 49673142.

241376940 is a `hidden beast` number, since 241 + 376 + 9 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 241376895 and 241376904.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4864 + ... + 22503.

Almost surely, 2241376940 is an apocalyptic number.

241376940 is a gapful number since it is divisible by the number (20) 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 241376940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425873448).

241376940 is an abundant number, since it is smaller than the sum of its proper divisors (610369956).

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

241376940 is a wasteful number, since it uses less digits than its factorization.

241376940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27396 (or 27384 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 241376940 is about 15536.3103728009. The cubic root of 241376940 is about 622.6327002143.

The spelling of 241376940 in words is "two hundred forty-one million, three hundred seventy-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 27367 54734 82101 109468 136835 164202 191569 246303 273670 328404 383138 410505 492606 547340 574707 766276 821010 957845 985212 1149414 1231515 1340983 1642020 1724121 1915690 2298828 2463030 2681966 2873535 3448242 3831380 4022949 4926060 5363932 5747070 6704915 6896484 8045898 8620605 11494140 12068847 13409830 16091796 17241210 20114745 24137694 26819660 34482420 40229490 48275388 60344235 80458980 120688470 241376940