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3440650040 = 235234721693
BaseRepresentation
bin1100110100010100…
…0010011100111000
322212210012010112222
43031011002130320
524021301300130
61325225023212
7151156020452
oct31505023470
98783163488
103440650040
111506180333
12800324b08
1342aa894c9
14248d4d2d2
151520d6ce5
hexcd142738

3440650040 has 96 divisors (see below), whose sum is σ = 8258453280. Its totient is φ = 1287652608.

The previous prime is 3440650033. The next prime is 3440650049. The reversal of 3440650040 is 400560443.

3440650040 = 85332 + 85342 + ... + 85792.

It is a junction number, because it is equal to n+sod(n) for n = 3440649991 and 3440650009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440650049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2031434 + ... + 2033126.

It is an arithmetic number, because the mean of its divisors is an integer number (86025555).

Almost surely, 23440650040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3440650040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129226640).

3440650040 is an abundant number, since it is smaller than the sum of its proper divisors (4817803240).

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

3440650040 is a wasteful number, since it uses less digits than its factorization.

3440650040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 3440650040 is about 58657.0544777011. The cubic root of 3440650040 is about 1509.6635421289.

The spelling of 3440650040 in words is "three billion, four hundred forty million, six hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 47 92 94 115 184 188 230 235 376 460 470 920 940 1081 1693 1880 2162 2209 3386 4324 4418 5405 6772 8465 8648 8836 10810 11045 13544 16930 17672 21620 22090 33860 38939 43240 44180 50807 67720 77878 79571 88360 101614 155756 159142 194695 203228 254035 311512 318284 389390 397855 406456 508070 636568 778780 795710 1016140 1557560 1591420 1830133 2032280 3182840 3660266 3739837 7320532 7479674 9150665 14641064 14959348 18301330 18699185 29918696 36602660 37398370 73205320 74796740 86016251 149593480 172032502 344065004 430081255 688130008 860162510 1720325020 3440650040