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423107328 = 2837211373
BaseRepresentation
bin11001001110000…
…001101100000000
31002111011002010210
4121032001230000
51331303413303
6105552354120
713325232030
oct3116015400
91074132123
10423107328
111a7918886
12b9845940
1369872187
144029b8c0
152722a203
hex19381b00

423107328 has 144 divisors (see below), whose sum is σ = 1296517376. Its totient is φ = 119992320.

The previous prime is 423107309. The next prime is 423107351. The reversal of 423107328 is 823701324.

It is a super-2 number, since 2×4231073282 = 358039622014599168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 423107295 and 423107304.

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, 1134150 + ... + 1134522.

Almost surely, 2423107328 is an apocalyptic number.

423107328 is a gapful number since it is divisible by the number (48) 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 423107328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648258688).

423107328 is an abundant number, since it is smaller than the sum of its proper divisors (873410048).

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

423107328 is a wasteful number, since it uses less digits than its factorization.

423107328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 423107328 is about 20569.5728686815. The cubic root of 423107328 is about 750.7295585401.

It can be divided in two parts, 42 and 3107328, that multiplied together give a square (130507776 = 114242).

The spelling of 423107328 in words is "four hundred twenty-three million, one hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 211 224 256 336 373 384 422 448 633 672 746 768 844 896 1119 1266 1344 1477 1492 1688 1792 2238 2532 2611 2688 2954 2984 3376 4431 4476 5064 5222 5376 5908 5968 6752 7833 8862 8952 10128 10444 11816 11936 13504 15666 17724 17904 20256 20888 23632 23872 27008 31332 35448 35808 40512 41776 47264 47744 54016 62664 70896 71616 78703 81024 83552 94528 95488 125328 141792 143232 157406 162048 167104 189056 236109 250656 283584 286464 314812 334208 378112 472218 501312 550921 567168 629624 668416 944436 1002624 1101842 1134336 1259248 1652763 1888872 2005248 2203684 2518496 3305526 3777744 4407368 5036992 6611052 7555488 8814736 10073984 13222104 15110976 17629472 20147968 26444208 30221952 35258944 52888416 60443904 70517888 105776832 141035776 211553664 423107328