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423751240 = 235114322397
BaseRepresentation
bin11001010000011…
…110111001001000
31002112100210102101
4121100132321020
51331440014430
6110014243144
713333553233
oct3120367110
91075323371
10423751240
111a8218640
12b9ab64b4
1369a392a3
14403c841a
1527305dca
hex1941ee48

423751240 has 64 divisors (see below), whose sum is σ = 1064352960. Its totient is φ = 150501120.

The previous prime is 423751199. The next prime is 423751247. The reversal of 423751240 is 42157324.

It is a super-2 number, since 2×4237512402 = 359130226803075200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 423751199 and 423751208.

It is not an unprimeable number, because it can be changed into a prime (423751247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7722 + ... + 30118.

It is an arithmetic number, because the mean of its divisors is an integer number (16630515).

Almost surely, 2423751240 is an apocalyptic number.

423751240 is a gapful number since it is divisible by the number (40) 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 423751240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532176480).

423751240 is an abundant number, since it is smaller than the sum of its proper divisors (640601720).

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

423751240 is a wasteful number, since it uses less digits than its factorization.

423751240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22462 (or 22458 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 423751240 is about 20585.2189689593. The cubic root of 423751240 is about 751.1102017179.

The spelling of 423751240 in words is "four hundred twenty-three million, seven hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1720 1892 2365 3784 4730 9460 18920 22397 44794 89588 111985 179176 223970 246367 447940 492734 895880 963071 985468 1231835 1926142 1970936 2463670 3852284 4815355 4927340 7704568 9630710 9854680 10593781 19261420 21187562 38522840 42375124 52968905 84750248 105937810 211875620 423751240