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1040242434 = 237117872861
BaseRepresentation
bin111110000000001…
…101011100000010
32200111101210100120
4332000031130002
54112300224214
6251120001110
734530625530
oct7600153402
92614353316
101040242434
1149420a5a0
12250460196
1313768a18a
149c225150
15614ceea9
hex3e00d702

1040242434 has 64 divisors (see below), whose sum is σ = 2598054912. Its totient is φ = 269755200.

The previous prime is 1040242433. The next prime is 1040242517. The reversal of 1040242434 is 4342420401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1040242433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362164 + ... + 365024.

It is an arithmetic number, because the mean of its divisors is an integer number (40594608).

Almost surely, 21040242434 is an apocalyptic number.

1040242434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040242434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299027456).

1040242434 is an abundant number, since it is smaller than the sum of its proper divisors (1557812478).

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

1040242434 is a wasteful number, since it uses less digits than its factorization.

1040242434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1040242434 is about 32252.7895537735. The cubic root of 1040242434 is about 1013.2381234367.

Adding to 1040242434 its reverse (4342420401), we get a palindrome (5382662835).

The spelling of 1040242434 in words is "one billion, forty million, two hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 787 1574 2361 2861 4722 5509 5722 8583 8657 11018 16527 17166 17314 20027 25971 31471 33054 40054 51942 60081 60599 62942 94413 120162 121198 181797 188826 220297 363594 440594 660891 1321782 2251607 4503214 6754821 13509642 15761249 24767677 31522498 47283747 49535354 74303031 94567494 148606062 173373739 346747478 520121217 1040242434