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234134144 = 277125763
BaseRepresentation
bin11011111010010…
…01101010000000
3121022120020122222
431331021222000
5434414243034
635122150212
75542051556
oct1575115200
9538506588
10234134144
111101874a2
12664b2368
1339678c1a
1423149bd6
151584d12e
hexdf49a80

234134144 has 32 divisors (see below), whose sum is σ = 473027040. Its totient is φ = 115413760.

The previous prime is 234134137. The next prime is 234134189. The reversal of 234134144 is 441431432.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2341341442 = 109637594773225472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3794 + ... + 21969.

It is an arithmetic number, because the mean of its divisors is an integer number (14782095).

Almost surely, 2234134144 is an apocalyptic number.

It is an amenable number.

234134144 is an abundant number, since it is smaller than the sum of its proper divisors (238892896).

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

234134144 is an equidigital number, since it uses as much as digits as its factorization.

234134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25848 (or 25836 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 234134144 is about 15301.4425463745. The cubic root of 234134144 is about 616.3417454920.

Adding to 234134144 its reverse (441431432), we get a palindrome (675565576).

The spelling of 234134144 in words is "two hundred thirty-four million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 2272 4544 9088 25763 51526 103052 206104 412208 824416 1648832 1829173 3297664 3658346 7316692 14633384 29266768 58533536 117067072 234134144