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3540430020 = 2235233182759
BaseRepresentation
bin1101001100000110…
…1010110011000100
3100010201221110221210
43103001222303010
524222322230040
61343151411420
7153510105261
oct32301526304
910121843853
103540430020
111557531526
12829823b70
13445653b0a
142582c4268
1515ac46480
hexd306acc4

3540430020 has 96 divisors (see below), whose sum is σ = 10678026240. Its totient is φ = 873924480.

The previous prime is 3540430009. The next prime is 3540430031. The reversal of 3540430020 is 200340453.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3540430009) and next prime (3540430031).

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, 1401 + ... + 84159.

It is an arithmetic number, because the mean of its divisors is an integer number (111229440).

Almost surely, 23540430020 is an apocalyptic number.

3540430020 is a gapful number since it is divisible by the number (30) 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 3540430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5339013120).

3540430020 is an abundant number, since it is smaller than the sum of its proper divisors (7137596220).

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

3540430020 is a wasteful number, since it uses less digits than its factorization.

3540430020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82825 (or 82823 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3540430020 is about 59501.5127538788. The cubic root of 3540430020 is about 1524.1182784456.

Adding to 3540430020 its reverse (200340453), we get a palindrome (3740770473).

The spelling of 3540430020 in words is "three billion, five hundred forty million, four hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 31 46 60 62 69 92 93 115 124 138 155 186 230 276 310 345 372 460 465 620 690 713 930 1380 1426 1860 2139 2852 3565 4278 7130 8556 10695 14260 21390 42780 82759 165518 248277 331036 413795 496554 827590 993108 1241385 1655180 1903457 2482770 2565529 3806914 4965540 5131058 5710371 7613828 7696587 9517285 10262116 11420742 12827645 15393174 19034570 22841484 25655290 28551855 30786348 38069140 38482935 51310580 57103710 59007167 76965870 114207420 118014334 153931740 177021501 236028668 295035835 354043002 590071670 708086004 885107505 1180143340 1770215010 3540430020