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423001464 = 2332337139149
BaseRepresentation
bin11001001101100…
…111110101111000
31002110221200220220
4121031213311320
51331242021324
6105550220040
713324311264
oct3115476570
91073850826
10423001464
111a7856296
12b97b4620
1369835c32
14402710a4
1527208b79
hex19367d78

423001464 has 128 divisors (see below), whose sum is σ = 1149120000. Its totient is φ = 129406464.

The previous prime is 423001459. The next prime is 423001477. The reversal of 423001464 is 464100324.

It is a super-2 number, since 2×4230014642 = 357860477092286592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2838862 + ... + 2839010.

It is an arithmetic number, because the mean of its divisors is an integer number (8977500).

Almost surely, 2423001464 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 423001464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560000).

423001464 is an abundant number, since it is smaller than the sum of its proper divisors (726118536).

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

423001464 is a wasteful number, since it uses less digits than its factorization.

423001464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 423001464 is about 20566.9993922303. Note that the first 3 decimals coincide. The cubic root of 423001464 is about 750.6669409661. Note that the first 3 decimals are identical.

Adding to 423001464 its reverse (464100324), we get a palindrome (887101788).

The spelling of 423001464 in words is "four hundred twenty-three million, one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 111 138 139 148 149 184 222 276 278 296 298 417 444 447 552 556 596 834 851 888 894 1112 1192 1668 1702 1788 2553 3197 3336 3404 3427 3576 5106 5143 5513 6394 6808 6854 9591 10212 10281 10286 11026 12788 13708 15429 16539 19182 20424 20562 20572 20711 22052 25576 27416 30858 33078 38364 41124 41144 41422 44104 61716 62133 66156 76728 82248 82844 118289 123432 124266 126799 132312 165688 236578 248532 253598 354867 380397 473156 476353 497064 507196 709734 760794 766307 946312 952706 1014392 1419468 1429059 1521588 1532614 1905412 2298921 2838936 2858118 3043176 3065228 3810824 4597842 5716236 6130456 9195684 11432472 17625061 18391368 35250122 52875183 70500244 105750366 141000488 211500732 423001464