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423204000 = 2535335267
BaseRepresentation
bin11001001110011…
…001010010100000
31002111022222202020
4121032121102200
51331320012000
6105554421440
713326113622
oct3116312240
91074288666
10423204000
111a798447a
12b9891880
13698a718b
14402c4c12
1527248ba0
hex193994a0

423204000 has 96 divisors (see below), whose sum is σ = 1386455616. Its totient is φ = 112851200.

The previous prime is 423203941. The next prime is 423204013. The reversal of 423204000 is 402324.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 5634 + ... + 29633.

It is an arithmetic number, because the mean of its divisors is an integer number (14442246).

Almost surely, 2423204000 is an apocalyptic number.

423204000 is a gapful number since it is divisible by the number (40) 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 423204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693227808).

423204000 is an abundant number, since it is smaller than the sum of its proper divisors (963251616).

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

423204000 is a wasteful number, since it uses less digits than its factorization.

423204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35295 (or 35277 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 423204000 is about 20571.9226131152. The cubic root of 423204000 is about 750.7867300082.

Adding to 423204000 its reverse (402324), we get a palindrome (423606324).

The spelling of 423204000 in words is "four hundred twenty-three million, two hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 35267 70534 105801 141068 176335 211602 282136 352670 423204 529005 564272 705340 846408 881675 1058010 1128544 1410680 1692816 1763350 2116020 2645025 2821360 3385632 3526700 4232040 4408375 5290050 5642720 7053400 8464080 8816750 10580100 13225125 14106800 16928160 17633500 21160200 26450250 28213600 35267000 42320400 52900500 70534000 84640800 105801000 141068000 211602000 423204000