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423021330 = 2325101173269
BaseRepresentation
bin11001001101101…
…100101100010010
31002110222201011200
4121031230230102
51331243140310
6105550452030
713324423224
oct3115545422
91073881150
10423021330
111a786a206
12b9804016
1369841ca4
1440278414
152720e9c0
hex1936cb12

423021330 has 96 divisors (see below), whose sum is σ = 1121318640. Its totient is φ = 110630400.

The previous prime is 423021329. The next prime is 423021371. The reversal of 423021330 is 33120324.

423021330 is a `hidden beast` number, since 423 + 0 + 213 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 293539689 + 129481641 = 17133^2 + 11379^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1572436 + ... + 1572704.

Almost surely, 2423021330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423021330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560659320).

423021330 is an abundant number, since it is smaller than the sum of its proper divisors (698297310).

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

423021330 is a wasteful number, since it uses less digits than its factorization.

423021330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 423021330 is about 20567.4823447110. The cubic root of 423021330 is about 750.6786923171.

Adding to 423021330 its reverse (33120324), we get a palindrome (456141654).

The spelling of 423021330 in words is "four hundred twenty-three million, twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 173 202 269 303 346 505 519 538 606 807 865 909 1010 1038 1345 1515 1557 1614 1730 1818 2421 2595 2690 3030 3114 4035 4545 4842 5190 7785 8070 9090 12105 15570 17473 24210 27169 34946 46537 52419 54338 81507 87365 93074 104838 135845 139611 157257 163014 174730 232685 244521 262095 271690 279222 314514 407535 418833 465370 489042 524190 698055 786285 815070 837666 1222605 1396110 1572570 2094165 2445210 4188330 4700237 9400474 14100711 23501185 28201422 42302133 47002370 70503555 84604266 141007110 211510665 423021330