Search a number
-
+
30353400 = 23335271173
BaseRepresentation
bin111001111001…
…0011111111000
32010010010001000
41303302133320
530232302100
63002325000
7515666610
oct163623770
963103030
1030353400
1116151a60
12a1b9760
136399abc
144061a40
1529e8900
hex1cf27f8

30353400 has 384 divisors, whose sum is σ = 132134400. Its totient is φ = 6220800.

The previous prime is 30353387. The next prime is 30353413. The reversal of 30353400 is 435303.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30353387) and next prime (30353413).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 415764 + ... + 415836.

It is an arithmetic number, because the mean of its divisors is an integer number (344100).

Almost surely, 230353400 is an apocalyptic number.

30353400 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 30353400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66067200).

30353400 is an abundant number, since it is smaller than the sum of its proper divisors (101781000).

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

30353400 is a wasteful number, since it uses less digits than its factorization.

30353400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 30353400 is about 5509.3919809721. The cubic root of 30353400 is about 311.9385973840.

Adding to 30353400 its reverse (435303), we get a palindrome (30788703).

The spelling of 30353400 in words is "thirty million, three hundred fifty-three thousand, four hundred".