Search a number
-
+
1034232144 = 243111958773
BaseRepresentation
bin111101101001010…
…010000101010000
32200002002102210020
4331221102011100
54104230412034
6250343103440
734425554031
oct7551220520
92602072706
101034232144
11490884a10
1224a441b80
131363645aa
149b4dca88
1560be4249
hex3da52150

1034232144 has 40 divisors (see below), whose sum is σ = 2914655712. Its totient is φ = 313403520.

The previous prime is 1034232113. The next prime is 1034232209. The reversal of 1034232144 is 4412324301.

It is a super-2 number, since 2×10342321442 = 2139272255365673472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 978859 + ... + 979914.

Almost surely, 21034232144 is an apocalyptic number.

It is an amenable number.

1034232144 is an abundant number, since it is smaller than the sum of its proper divisors (1880423568).

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

1034232144 is a wasteful number, since it uses less digits than its factorization.

1034232144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958795 (or 1958789 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1034232144 is about 32159.4798465398. The cubic root of 1034232144 is about 1011.2829313376.

Adding to 1034232144 its reverse (4412324301), we get a palindrome (5446556445).

It can be divided in two parts, 10342 and 32144, that added together give a triangular number (42486 = T291).

The spelling of 1034232144 in words is "one billion, thirty-four million, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1958773 3917546 5876319 7835092 11752638 15670184 21546503 23505276 31340368 43093006 47010552 64639509 86186012 94021104 129279018 172372024 258558036 344744048 517116072 1034232144