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423342816 = 253131272671
BaseRepresentation
bin11001001110111…
…011001011100000
31002111121001011120
4121032323023200
51331333432231
6110001412240
713330232421
oct3116731340
91074531146
10423342816
111a7a697a6
12b993a080
1369925410
144031d648
1527274d96
hex193bb2e0

423342816 has 96 divisors (see below), whose sum is σ = 1206632448. Its totient is φ = 129185280.

The previous prime is 423342797. The next prime is 423342817. The reversal of 423342816 is 618243324.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423342817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157161 + ... + 159831.

It is an arithmetic number, because the mean of its divisors is an integer number (12569088).

Almost surely, 2423342816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423342816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603316224).

423342816 is an abundant number, since it is smaller than the sum of its proper divisors (783289632).

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

423342816 is a wasteful number, since it uses less digits than its factorization.

423342816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2816 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 423342816 is about 20575.2962554613. The cubic root of 423342816 is about 750.8688100590.

It can be divided in two parts, 42334 and 2816, that added together give a triangular number (45150 = T300).

The spelling of 423342816 in words is "four hundred twenty-three million, three hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 127 156 208 254 312 381 416 508 624 762 1016 1248 1524 1651 2032 2671 3048 3302 4064 4953 5342 6096 6604 8013 9906 10684 12192 13208 16026 19812 21368 26416 32052 34723 39624 42736 52832 64104 69446 79248 85472 104169 128208 138892 158496 208338 256416 277784 339217 416676 555568 678434 833352 1017651 1111136 1356868 1666704 2035302 2713736 3333408 4070604 4409821 5427472 8141208 8819642 10854944 13229463 16282416 17639284 26458926 32564832 35278568 52917852 70557136 105835704 141114272 211671408 423342816