Search a number
-
+
304175820 = 2235132711439
BaseRepresentation
bin10010001000010…
…101101011001100
3210012100201210010
4102020111223030
51110332111240
650103313220
710352310654
oct2210255314
9705321703
10304175820
11146776883
1285a4b810
134b0306c0
142c57d364
151ba86280
hex12215acc

304175820 has 96 divisors (see below), whose sum is σ = 921231360. Its totient is φ = 74545920.

The previous prime is 304175819. The next prime is 304175821. The reversal of 304175820 is 28571403.

It is an interprime number because it is at equal distance from previous prime (304175819) and next prime (304175821).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (304175821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210661 + ... + 212099.

It is an arithmetic number, because the mean of its divisors is an integer number (9596160).

Almost surely, 2304175820 is an apocalyptic number.

304175820 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 304175820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460615680).

304175820 is an abundant number, since it is smaller than the sum of its proper divisors (617055540).

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

304175820 is a wasteful number, since it uses less digits than its factorization.

304175820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 304175820 is about 17440.6370296500. The cubic root of 304175820 is about 672.5246841223.

The spelling of 304175820 in words is "three hundred four million, one hundred seventy-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 271 390 542 780 813 1084 1355 1439 1626 2710 2878 3252 3523 4065 4317 5420 5756 7046 7195 8130 8634 10569 14092 14390 16260 17268 17615 18707 21138 21585 28780 35230 37414 42276 43170 52845 56121 70460 74828 86340 93535 105690 112242 187070 211380 224484 280605 374140 389969 561210 779938 1122420 1169907 1559876 1949845 2339814 3899690 4679628 5069597 5849535 7799380 10139194 11699070 15208791 20278388 23398140 25347985 30417582 50695970 60835164 76043955 101391940 152087910 304175820