[go: up one dir, main page]

Search a number
-
+
323504820 = 223354211423
BaseRepresentation
bin10011010010000…
…100101010110100
3211112201202012000
4103102010222310
51130304123240
652033455300
711005513512
oct2322045264
9745652160
10323504820
11156678a61
1290411530
135203a592
1430d714b2
151d603430
hex13484ab4

323504820 has 96 divisors (see below), whose sum is σ = 1009559040. Its totient is φ = 86002560.

The previous prime is 323504771. The next prime is 323504837. The reversal of 323504820 is 28405323.

323504820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226629 + ... + 228051.

It is an arithmetic number, because the mean of its divisors is an integer number (10516240).

Almost surely, 2323504820 is an apocalyptic number.

323504820 is a gapful number since it is divisible by the number (30) 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 323504820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504779520).

323504820 is an abundant number, since it is smaller than the sum of its proper divisors (686054220).

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

323504820 is a wasteful number, since it uses less digits than its factorization.

323504820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 323504820 is about 17986.2397404238. The cubic root of 323504820 is about 686.4784661386.

The spelling of 323504820 in words is "three hundred twenty-three million, five hundred four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 421 540 842 1263 1423 1684 2105 2526 2846 3789 4210 4269 5052 5692 6315 7115 7578 8420 8538 11367 12630 12807 14230 15156 17076 18945 21345 22734 25260 25614 28460 37890 38421 42690 45468 51228 56835 64035 75780 76842 85380 113670 128070 153684 192105 227340 256140 384210 599083 768420 1198166 1797249 2396332 2995415 3594498 5391747 5990830 7188996 8986245 10783494 11981660 16175241 17972490 21566988 26958735 32350482 35944980 53917470 64700964 80876205 107834940 161752410 323504820