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4325032240 = 245236735083
BaseRepresentation
bin1000000011100101…
…01100000100110000
3102011102022101212021
410001302230010300
532324202012430
61553100241224
7212115111304
oct40162540460
912142271767
104325032240
11191a405811
12a08540214
1353c075299
142d05a1d04
151a4a7b07a
hex101cac130

4325032240 has 80 divisors (see below), whose sum is σ = 10649818368. Its totient is φ = 1630050048.

The previous prime is 4325032223. The next prime is 4325032279. The reversal of 4325032240 is 422305234.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105739 + ... + 140821.

Almost surely, 24325032240 is an apocalyptic number.

4325032240 is a gapful number since it is divisible by the number (40) 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 4325032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5324909184).

4325032240 is an abundant number, since it is smaller than the sum of its proper divisors (6324786128).

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

4325032240 is a wasteful number, since it uses less digits than its factorization.

4325032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35186 (or 35180 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 4325032240 is about 65764.9773055538. The cubic root of 4325032240 is about 1629.2827134962.

Adding to 4325032240 its reverse (422305234), we get a palindrome (4747337474).

The spelling of 4325032240 in words is "four billion, three hundred twenty-five million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 67 80 92 115 134 184 230 268 335 368 460 536 670 920 1072 1340 1541 1840 2680 3082 5360 6164 7705 12328 15410 24656 30820 35083 61640 70166 123280 140332 175415 280664 350830 561328 701660 806909 1403320 1613818 2350561 2806640 3227636 4034545 4701122 6455272 8069090 9402244 11752805 12910544 16138180 18804488 23505610 32276360 37608976 47011220 54062903 64552720 94022440 108125806 188044880 216251612 270314515 432503224 540629030 865006448 1081258060 2162516120 4325032240