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1034132240 = 24537349369
BaseRepresentation
bin111101101000111…
…001101100010000
32200001220100202002
4331220321230100
54104214212430
6250341013132
734424656541
oct7550715420
92601810662
101034132240
11490816949
1224a3b41a8
1313632ac8b
149b4b44c8
1560bc4845
hex3da39b10

1034132240 has 40 divisors (see below), whose sum is σ = 2469347160. Its totient is φ = 402471936.

The previous prime is 1034132227. The next prime is 1034132243. The reversal of 1034132240 is 422314301.

1034132240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 361456144 + 672676096 = 19012^2 + 25936^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1034132243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171725 + ... + 177644.

It is an arithmetic number, because the mean of its divisors is an integer number (61733679).

Almost surely, 21034132240 is an apocalyptic number.

1034132240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034132240 is an abundant number, since it is smaller than the sum of its proper divisors (1435214920).

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

1034132240 is a wasteful number, since it uses less digits than its factorization.

1034132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349419 (or 349413 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1034132240 is about 32157.9265500747. The cubic root of 1034132240 is about 1011.2503678995.

Adding to 1034132240 its reverse (422314301), we get a palindrome (1456446541).

The spelling of 1034132240 in words is "one billion, thirty-four million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 349369 698738 1397476 1746845 2794952 3493690 5589904 6987380 12926653 13974760 25853306 27949520 51706612 64633265 103413224 129266530 206826448 258533060 517066120 1034132240