Search a number
-
+
423464600 = 235213271601
BaseRepresentation
bin11001001111011…
…000111010011000
31002111211020020002
4121033120322120
51331401331400
6110004152132
713331250446
oct3117307230
91074736202
10423464600
111a8042249
12b9998648
1369968990
1440351b96
152729aed5
hex193d8e98

423464600 has 96 divisors (see below), whose sum is σ = 1065973440. Its totient is φ = 155520000.

The previous prime is 423464599. The next prime is 423464627. The reversal of 423464600 is 6464324.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704300 + ... + 704900.

It is an arithmetic number, because the mean of its divisors is an integer number (11103890).

Almost surely, 2423464600 is an apocalyptic number.

423464600 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 423464600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532986720).

423464600 is an abundant number, since it is smaller than the sum of its proper divisors (642508840).

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

423464600 is a wasteful number, since it uses less digits than its factorization.

423464600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 423464600 is about 20578.2555140128. The cubic root of 423464600 is about 750.9408045408.

The spelling of 423464600 in words is "four hundred twenty-three million, four hundred sixty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 271 325 520 542 601 650 1084 1202 1300 1355 2168 2404 2600 2710 3005 3523 4808 5420 6010 6775 7046 7813 10840 12020 13550 14092 15025 15626 17615 24040 27100 28184 30050 31252 35230 39065 54200 60100 62504 70460 78130 88075 120200 140920 156260 162871 176150 195325 312520 325742 352300 390650 651484 704600 781300 814355 1302968 1562600 1628710 2117323 3257420 4071775 4234646 6514840 8143550 8469292 10586615 16287100 16938584 21173230 32574200 42346460 52933075 84692920 105866150 211732300 423464600