Search a number
-
+
424312320 = 293555249
BaseRepresentation
bin11001010010100…
…111111000000000
31002120102022002010
4121102213320000
51332110443240
6110034252520
713341411105
oct3122477000
91076368063
10424312320
111a8571143
12ba127140
1369ba47a3
14404d2aac
15273b7280
hex194a7e00

424312320 has 80 divisors (see below), whose sum is σ = 1356498000. Its totient is φ = 113147904.

The previous prime is 424312297. The next prime is 424312331. The reversal of 424312320 is 23213424.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19945 + ... + 35304.

It is an arithmetic number, because the mean of its divisors is an integer number (16956225).

Almost surely, 2424312320 is an apocalyptic number.

424312320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424312320 is an abundant number, since it is smaller than the sum of its proper divisors (932185680).

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

424312320 is an equidigital number, since it uses as much as digits as its factorization.

424312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55275 (or 55259 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 424312320 is about 20598.8426859375. The cubic root of 424312320 is about 751.4415651889.

Adding to 424312320 its reverse (23213424), we get a palindrome (447525744).

The spelling of 424312320 in words is "four hundred twenty-four million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 55249 110498 165747 220996 276245 331494 441992 552490 662988 828735 883984 1104980 1325976 1657470 1767968 2209960 2651952 3314940 3535936 4419920 5303904 6629880 7071872 8839840 10607808 13259760 14143744 17679680 21215616 26519520 28287488 35359360 42431232 53039040 70718720 84862464 106078080 141437440 212156160 424312320