Search a number
-
+
30143008 = 257532539
BaseRepresentation
bin111001011111…
…1001000100000
32002201102102201
41302333020200
530204034013
62554022544
7514132330
oct162771040
962642381
1030143008
1116018985
12a117a54
1363250cc
1440090c0
1529a63dd
hex1cbf220

30143008 has 48 divisors (see below), whose sum is σ = 69128640. Its totient is φ = 12669696.

The previous prime is 30142993. The next prime is 30143011. The reversal of 30143008 is 80034103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10603 + ... + 13141.

It is an arithmetic number, because the mean of its divisors is an integer number (1440180).

Almost surely, 230143008 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 30143008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34564320).

30143008 is an abundant number, since it is smaller than the sum of its proper divisors (38985632).

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

30143008 is a wasteful number, since it uses less digits than its factorization.

30143008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 30143008 is about 5490.2648387851. The cubic root of 30143008 is about 311.2162004770.

The spelling of 30143008 in words is "thirty million, one hundred forty-three thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1484 1696 2539 2968 5078 5936 10156 11872 17773 20312 35546 40624 71092 81248 134567 142184 269134 284368 538268 568736 941969 1076536 1883938 2153072 3767876 4306144 7535752 15071504 30143008