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423412320 = 25355914951
BaseRepresentation
bin11001001111001…
…100001001100000
31002111201120111210
4121033030021200
51331343143240
6110003110120
713330642152
oct3117141140
91074646453
10423412320
111a8006a41
12b9972340
136994ac46
144033aad2
152728a780
hex193cc260

423412320 has 96 divisors (see below), whose sum is σ = 1356445440. Its totient is φ = 110988800.

The previous prime is 423412309. The next prime is 423412333. The reversal of 423412320 is 23214324.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20845 + ... + 35795.

It is an arithmetic number, because the mean of its divisors is an integer number (14129640).

Almost surely, 2423412320 is an apocalyptic number.

423412320 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 423412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678222720).

423412320 is an abundant number, since it is smaller than the sum of its proper divisors (933033120).

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

423412320 is a wasteful number, since it uses less digits than its factorization.

423412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15028 (or 15020 counting only the distinct ones).

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

The square root of 423412320 is about 20576.9852019192. The cubic root of 423412320 is about 750.9099001071.

Adding to 423412320 its reverse (23214324), we get a palindrome (446626644).

The spelling of 423412320 in words is "four hundred twenty-three million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 80 96 118 120 160 177 236 240 295 354 472 480 590 708 885 944 1180 1416 1770 1888 2360 2832 3540 4720 5664 7080 9440 14160 14951 28320 29902 44853 59804 74755 89706 119608 149510 179412 224265 239216 299020 358824 448530 478432 598040 717648 882109 897060 1196080 1435296 1764218 1794120 2392160 2646327 3528436 3588240 4410545 5292654 7056872 7176480 8821090 10585308 13231635 14113744 17642180 21170616 26463270 28227488 35284360 42341232 52926540 70568720 84682464 105853080 141137440 211706160 423412320