[go: up one dir, main page]

Search a number
-
+
30300360 = 2335298707
BaseRepresentation
bin111001110010…
…1100011001000
32010000102021120
41303211203020
530224102420
63001235240
7515356146
oct163454310
963012246
1030300360
1116116122
12a192b20
13637b90c
14404a596
1529d7d40
hex1ce58c8

30300360 has 64 divisors (see below), whose sum is σ = 94046400. Its totient is φ = 7800576.

The previous prime is 30300359. The next prime is 30300397. The reversal of 30300360 is 6300303.

It is a super-2 number, since 2×303003602 = 1836223632259200, which contains 22 as substring.

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

It is a congruent number.

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, 874 + ... + 7833.

It is an arithmetic number, because the mean of its divisors is an integer number (1469475).

Almost surely, 230300360 is an apocalyptic number.

30300360 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 30300360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47023200).

30300360 is an abundant number, since it is smaller than the sum of its proper divisors (63746040).

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

30300360 is a wasteful number, since it uses less digits than its factorization.

30300360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8750 (or 8746 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 30300360 is about 5504.5762779709. The cubic root of 30300360 is about 311.7567960076.

Adding to 30300360 its reverse (6300303), we get a palindrome (36600663).

The spelling of 30300360 in words is "thirty million, three hundred thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 8707 17414 26121 34828 43535 52242 69656 87070 104484 130605 174140 208968 252503 261210 348280 505006 522420 757509 1010012 1044840 1262515 1515018 2020024 2525030 3030036 3787545 5050060 6060072 7575090 10100120 15150180 30300360