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4034314440 = 2332513862033
BaseRepresentation
bin1111000001110110…
…1100000011001000
3101102011021102000100
43300131230003020
531230241030230
61504153205400
7201655051452
oct36035540310
911364242010
104034314440
1117902a1172
12947100860
134c3a77410
142a3b272d2
151892a2660
hexf076c0c8

4034314440 has 96 divisors (see below), whose sum is σ = 14120116920. Its totient is φ = 993060864.

The previous prime is 4034314373. The next prime is 4034314451. The reversal of 4034314440 is 444134304.

It can be written as a sum of positive squares in 4 ways, for example, as 3629580516 + 404733924 = 60246^2 + 20118^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426337 + ... + 435696.

Almost surely, 24034314440 is an apocalyptic number.

4034314440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4034314440 is an abundant number, since it is smaller than the sum of its proper divisors (10085802480).

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

4034314440 is a wasteful number, since it uses less digits than its factorization.

4034314440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862063 (or 862056 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4034314440 is about 63516.2533529804. The cubic root of 4034314440 is about 1591.9273648923.

Adding to 4034314440 its reverse (444134304), we get a palindrome (4478448744).

The spelling of 4034314440 in words is "four billion, thirty-four million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 862033 1724066 2586099 3448132 4310165 5172198 6896264 7758297 8620330 10344396 11206429 12930495 15516594 17240660 20688792 22412858 25860990 31033188 33619287 34481320 38791485 44825716 51721980 56032145 62066376 67238574 77582970 89651432 100857861 103443960 112064290 134477148 155165940 168096435 201715722 224128580 268954296 310331880 336192870 403431444 448257160 504289305 672385740 806862888 1008578610 1344771480 2017157220 4034314440