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423418112 = 2813472707
BaseRepresentation
bin11001001111001…
…101100100000000
31002111201212110022
4121033031210000
51331343334422
6110003153012
713330665065
oct3117154400
91074655408
10423418112
111a8010327
12b9975768
1369950780
144033cc6c
152728c342
hex193cd900

423418112 has 72 divisors (see below), whose sum is σ = 929905536. Its totient is φ = 191195136.

The previous prime is 423418081. The next prime is 423418129. The reversal of 423418112 is 211814324.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 155063 + ... + 157769.

Almost surely, 2423418112 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 423418112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464952768).

423418112 is an abundant number, since it is smaller than the sum of its proper divisors (506487424).

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

423418112 is a wasteful number, since it uses less digits than its factorization.

423418112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2769 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 423418112 is about 20577.1259411999. The cubic root of 423418112 is about 750.9133240748.

The spelling of 423418112 in words is "four hundred twenty-three million, four hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 188 208 256 376 416 611 752 832 1222 1504 1664 2444 2707 3008 3328 4888 5414 6016 9776 10828 12032 19552 21656 35191 39104 43312 70382 78208 86624 127229 140764 156416 173248 254458 281528 346496 508916 563056 692992 1017832 1126112 1653977 2035664 2252224 3307954 4071328 4504448 6615908 8142656 9008896 13231816 16285312 26463632 32570624 52927264 105854528 211709056 423418112