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30114432 = 273226141
BaseRepresentation
bin111001011100…
…0001010000000
32002122222020100
41302320022000
530202130212
62553242400
7513653115
oct162701200
962588210
1030114432
1115aa9467
12a103400
1363150ba
143ddc90c
15299cbdc
hex1cb8280

30114432 has 48 divisors (see below), whose sum is σ = 86660730. Its totient is φ = 10037760.

The previous prime is 30114431. The next prime is 30114433. The reversal of 30114432 is 23441103.

It is an interprime number because it is at equal distance from previous prime (30114431) and next prime (30114433).

It can be written as a sum of positive squares in only one way, i.e., 23270976 + 6843456 = 4824^2 + 2616^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (30114431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11919 + ... + 14222.

Almost surely, 230114432 is an apocalyptic number.

30114432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30114432 is an abundant number, since it is smaller than the sum of its proper divisors (56546298).

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

30114432 is a wasteful number, since it uses less digits than its factorization.

30114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26161 (or 26146 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30114432 is about 5487.6617971592. The cubic root of 30114432 is about 311.1178235891.

Adding to 30114432 its reverse (23441103), we get a palindrome (53555535).

The spelling of 30114432 in words is "thirty million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 26141 52282 78423 104564 156846 209128 235269 313692 418256 470538 627384 836512 941076 1254768 1673024 1882152 2509536 3346048 3764304 5019072 7528608 10038144 15057216 30114432