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5434431000 = 233535930703
BaseRepresentation
bin1010000111110101…
…01101011000011000
3112000201211200212020
411003322231120120
542112203243000
62255130414440
7251445621105
oct50372553030
915021750766
105434431000
11233965a499
121077b91420
13687b66c5b
14397a69aac
1521c16bba0
hex143ead618

5434431000 has 128 divisors (see below), whose sum is σ = 17243366400. Its totient is φ = 1424572800.

The previous prime is 5434430993. The next prime is 5434431049. The reversal of 5434431000 is 1344345.

It is a super-2 number, since 2×54344310002 = 59066080587522000000, 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161649 + ... + 192351.

It is an arithmetic number, because the mean of its divisors is an integer number (134713800).

Almost surely, 25434431000 is an apocalyptic number.

5434431000 is a gapful number since it is divisible by the number (50) 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 5434431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8621683200).

5434431000 is an abundant number, since it is smaller than the sum of its proper divisors (11808935400).

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

5434431000 is a wasteful number, since it uses less digits than its factorization.

5434431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30786 (or 30772 counting only the distinct ones).

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

The square root of 5434431000 is about 73718.5933126779. The cubic root of 5434431000 is about 1758.1315182572.

Adding to 5434431000 its reverse (1344345), we get a palindrome (5435775345).

The spelling of 5434431000 in words is "five billion, four hundred thirty-four million, four hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 75 100 118 120 125 150 177 200 236 250 295 300 354 375 472 500 590 600 708 750 885 1000 1180 1416 1475 1500 1770 2360 2950 3000 3540 4425 5900 7080 7375 8850 11800 14750 17700 22125 29500 30703 35400 44250 59000 61406 88500 92109 122812 153515 177000 184218 245624 307030 368436 460545 614060 736872 767575 921090 1228120 1535150 1811477 1842180 2302725 3070300 3622954 3684360 3837875 4605450 5434431 6140600 7245908 7675750 9057385 9210900 10868862 11513625 14491816 15351500 18114770 18421800 21737724 23027250 27172155 30703000 36229540 43475448 45286925 46054500 54344310 72459080 90573850 92109000 108688620 135860775 181147700 217377240 226434625 271721550 362295400 452869250 543443100 679303875 905738500 1086886200 1358607750 1811477000 2717215500 5434431000