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1034423040 = 28357291327
BaseRepresentation
bin111101101010000…
…000101100000000
32200002110010122110
4331222000230000
54104303014130
6250351135320
734430310420
oct7552005400
92602403573
101034423040
114909a5382
1224a514540
13136400451
149b54c480
1560c30ab0
hex3da80b00

1034423040 has 288 divisors, whose sum is σ = 3908782080. Its totient is φ = 228114432.

The previous prime is 1034422997. The next prime is 1034423041. The reversal of 1034423040 is 403244301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1034422998 and 1034423016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034423041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778857 + ... + 780183.

It is an arithmetic number, because the mean of its divisors is an integer number (13572160).

Almost surely, 21034423040 is an apocalyptic number.

1034423040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954391040).

1034423040 is an abundant number, since it is smaller than the sum of its proper divisors (2874359040).

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

1034423040 is a wasteful number, since it uses less digits than its factorization.

1034423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1034423040 is about 32162.4476680491. The cubic root of 1034423040 is about 1011.3451475403.

Adding to 1034423040 its reverse (403244301), we get a palindrome (1437667341).

The spelling of 1034423040 in words is "one billion, thirty-four million, four hundred twenty-three thousand, forty".