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1034045430 = 2351121272243
BaseRepresentation
bin111101101000100…
…100011111110110
32200001201221122220
4331220210133312
54104203423210
6250335103210
734424145465
oct7550443766
92601657586
101034045430
11490767700
1224a371b06
131362ca602
149b4909dc
1560ba8c70
hex3da247f6

1034045430 has 96 divisors (see below), whose sum is σ = 2750533632. Its totient is φ = 248592960.

The previous prime is 1034045429. The next prime is 1034045443. The reversal of 1034045430 is 345404301.

It is a self number, because there is not a number n which added to its sum of digits gives 1034045430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459889 + ... + 462131.

It is an arithmetic number, because the mean of its divisors is an integer number (28651392).

Almost surely, 21034045430 is an apocalyptic number.

1034045430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034045430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375266816).

1034045430 is an abundant number, since it is smaller than the sum of its proper divisors (1716488202).

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

1034045430 is a wasteful number, since it uses less digits than its factorization.

1034045430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1034045430 is about 32156.5767767653. The cubic root of 1034045430 is about 1011.2220707123. Note that the first 3 decimals are identical.

Adding to 1034045430 its reverse (345404301), we get a palindrome (1379449731).

The spelling of 1034045430 in words is "one billion, thirty-four million, forty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 127 165 242 254 330 363 381 605 635 726 762 1210 1270 1397 1815 1905 2243 2794 3630 3810 4191 4486 6729 6985 8382 11215 13458 13970 15367 20955 22430 24673 30734 33645 41910 46101 49346 67290 74019 76835 92202 123365 148038 153670 230505 246730 271403 284861 370095 461010 542806 569722 740190 814209 854583 1357015 1424305 1628418 1709166 2714030 2848610 3133471 4071045 4272915 6266942 8142090 8545830 9400413 15667355 18800826 31334710 34468181 47002065 68936362 94004130 103404543 172340905 206809086 344681810 517022715 1034045430