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2331405340 = 2251153792531
BaseRepresentation
bin1000101011110110…
…0110110000011100
320000110221122212221
42022331212300130
514233314432330
61023202035124
7111526422055
oct21275466034
96013848787
102331405340
11a97021380
12550948aa4
132b201c9b4
141818c572c
15d9a26b7a
hex8af66c1c

2331405340 has 96 divisors (see below), whose sum is σ = 5512872960. Its totient is φ = 820934400.

The previous prime is 2331405331. The next prime is 2331405341. The reversal of 2331405340 is 435041332.

2331405340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331405341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919875 + ... + 922405.

It is an arithmetic number, because the mean of its divisors is an integer number (57425760).

Almost surely, 22331405340 is an apocalyptic number.

2331405340 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 2331405340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756436480).

2331405340 is an abundant number, since it is smaller than the sum of its proper divisors (3181467620).

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

2331405340 is a wasteful number, since it uses less digits than its factorization.

2331405340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 2331405340 is about 48284.6284028364. The cubic root of 2331405340 is about 1325.9869878841.

Adding to 2331405340 its reverse (435041332), we get a palindrome (2766446672).

The spelling of 2331405340 in words is "two billion, three hundred thirty-one million, four hundred five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 79 106 110 158 212 220 265 316 395 530 583 790 869 1060 1166 1580 1738 2332 2531 2915 3476 4187 4345 5062 5830 8374 8690 10124 11660 12655 16748 17380 20935 25310 27841 41870 46057 50620 55682 83740 92114 111364 134143 139205 184228 199949 230285 268286 278410 399898 460570 536572 556820 670715 799796 921140 999745 1341430 1475573 1999490 2199439 2682860 2951146 3998980 4398878 5902292 7377865 8797756 10597297 10997195 14755730 21194594 21994390 29511460 42389188 43988780 52986485 105972970 116570267 211945940 233140534 466281068 582851335 1165702670 2331405340