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458312940 = 223252546183
BaseRepresentation
bin11011010100010…
…100110011101100
31011221101201011100
4123110110303230
51414312003230
6113251123100
714233411221
oct3324246354
91157351140
10458312940
11215784328
121095a3490
1373c4a6b7
1444c23948
152a381660
hex1b514cec

458312940 has 36 divisors (see below), whose sum is σ = 1390216464. Its totient is φ = 122216736.

The previous prime is 458312929. The next prime is 458313001. The reversal of 458312940 is 49213854.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 458312895 and 458312904.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1272912 + ... + 1273271.

It is an arithmetic number, because the mean of its divisors is an integer number (38617124).

Almost surely, 2458312940 is an apocalyptic number.

It is an amenable number.

458312940 is an abundant number, since it is smaller than the sum of its proper divisors (931903524).

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

458312940 is a wasteful number, since it uses less digits than its factorization.

458312940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546198 (or 2546193 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 458312940 is about 21408.2446734897. The cubic root of 458312940 is about 770.9993994353. Note that the first 3 decimals are identical.

The spelling of 458312940 in words is "four hundred fifty-eight million, three hundred twelve thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2546183 5092366 7638549 10184732 12730915 15277098 22915647 25461830 30554196 38192745 45831294 50923660 76385490 91662588 114578235 152770980 229156470 458312940