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423314320 = 245111337003
BaseRepresentation
bin11001001110110…
…100001110010000
31002111112121002011
4121032310032100
51331332024240
6110001032304
713330053352
oct3116641620
91074477064
10423314320
111a7a4a350
12b9925694
1369915460
14403130d2
152726b6ea
hex193b4390

423314320 has 80 divisors (see below), whose sum is σ = 1156300992. Its totient is φ = 142087680.

The previous prime is 423314291. The next prime is 423314329. The reversal of 423314320 is 23413324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 423314291 and 423314300.

It is not an unprimeable number, because it can be changed into a prime (423314329) 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, 7062 + ... + 29941.

Almost surely, 2423314320 is an apocalyptic number.

423314320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423314320 is an abundant number, since it is smaller than the sum of its proper divisors (732986672).

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

423314320 is a wasteful number, since it uses less digits than its factorization.

423314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37040 (or 37034 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 423314320 is about 20574.6037628918. The cubic root of 423314320 is about 750.8519622178.

Adding to 423314320 its reverse (23413324), we get a palindrome (446727644).

The spelling of 423314320 in words is "four hundred twenty-three million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 37003 74006 148012 185015 296024 370030 407033 481039 592048 740060 814066 962078 1480120 1628132 1924156 2035165 2405195 2960240 3256264 3848312 4070330 4810390 5291429 6512528 7696624 8140660 9620780 10582858 16281320 19241560 21165716 26457145 32562640 38483120 42331432 52914290 84662864 105828580 211657160 423314320