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2434021040 = 2451129127751
BaseRepresentation
bin1001000100010100…
…0011011010110000
320021122001002011102
42101011003122300
514441102133130
61041305303532
7114213560153
oct22105033260
96248032142
102434021040
111039a3a040
1257b194ba8
132ca36ac49
14191397c9a
15e3a46645
hex911436b0

2434021040 has 160 divisors (see below), whose sum is σ = 6445301760. Its totient is φ = 846720000.

The previous prime is 2434020997. The next prime is 2434021067. The reversal of 2434021040 is 401204342.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3240665 + ... + 3241415.

It is an arithmetic number, because the mean of its divisors is an integer number (40283136).

Almost surely, 22434021040 is an apocalyptic number.

2434021040 is a gapful number since it is divisible by the number (20) 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 2434021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222650880).

2434021040 is an abundant number, since it is smaller than the sum of its proper divisors (4011280720).

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

2434021040 is a wasteful number, since it uses less digits than its factorization.

2434021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2434021040 is about 49335.7987672238. The cubic root of 2434021040 is about 1345.1625753003.

Adding to 2434021040 its reverse (401204342), we get a palindrome (2835225382).

It can be divided in two parts, 243402 and 1040, that added together give a palindrome (244442).

The spelling of 2434021040 in words is "two billion, four hundred thirty-four million, twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 127 145 176 220 232 254 290 319 440 464 508 580 635 638 751 880 1016 1160 1270 1276 1397 1502 1595 2032 2320 2540 2552 2794 3004 3190 3683 3755 5080 5104 5588 6008 6380 6985 7366 7510 8261 10160 11176 12016 12760 13970 14732 15020 16522 18415 21779 22352 25520 27940 29464 30040 33044 36830 40513 41305 43558 55880 58928 60080 66088 73660 81026 82610 87116 95377 108895 111760 132176 147320 162052 165220 174232 190754 202565 217790 239569 294640 324104 330440 348464 381508 405130 435580 476885 479138 648208 660880 763016 810260 871160 953770 958276 1049147 1197845 1526032 1620520 1742320 1907540 1916552 2098294 2395690 2765933 3241040 3815080 3833104 4196588 4791380 5245735 5531866 7630160 8393176 9582760 10491470 11063732 13829665 16786352 19165520 20982940 22127464 27659330 30425263 41965880 44254928 55318660 60850526 83931760 110637320 121701052 152126315 221274640 243402104 304252630 486804208 608505260 1217010520 2434021040