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423496440 = 233259071297
BaseRepresentation
bin11001001111100…
…000101011111000
31002111212211220100
4121033200223320
51331403341230
6110004555400
713331442333
oct3117405370
91074784810
10423496440
111a8064164
12b99b2b60
136997a313
144035d61a
15272a5660
hex193e0af8

423496440 has 96 divisors (see below), whose sum is σ = 1378943280. Its totient is φ = 112720896.

The previous prime is 423496439. The next prime is 423496441. The reversal of 423496440 is 44694324.

423496440 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 9 + 644 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (423496439) and next prime (423496441).

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 = 423496395 and 423496404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423496441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325872 + ... + 327168.

Almost surely, 2423496440 is an apocalyptic number.

423496440 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 423496440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689471640).

423496440 is an abundant number, since it is smaller than the sum of its proper divisors (955446840).

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

423496440 is a wasteful number, since it uses less digits than its factorization.

423496440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 423496440 is about 20579.0291316184. The cubic root of 423496440 is about 750.9596249695.

The spelling of 423496440 in words is "four hundred twenty-three million, four hundred ninety-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 907 1297 1814 2594 2721 3628 3891 4535 5188 5442 6485 7256 7782 8163 9070 10376 10884 11673 12970 13605 15564 16326 18140 19455 21768 23346 25940 27210 31128 32652 36280 38910 40815 46692 51880 54420 58365 65304 77820 81630 93384 108840 116730 155640 163260 233460 326520 466920 1176379 2352758 3529137 4705516 5881895 7058274 9411032 10587411 11763790 14116548 17645685 21174822 23527580 28233096 35291370 42349644 47055160 52937055 70582740 84699288 105874110 141165480 211748220 423496440