Search a number
-
+
31343860440 = 233553224677
BaseRepresentation
bin11101001100001111…
…010101101011011000
32222220102000002100000
4131030033111223120
51003143012013230
622222115413000
72156505263214
oct351417255330
988812002300
1031343860440
11123248792a2
1260a8bb4160
132c56918aa9
141734b05944
15c36aceb60
hex74c3d5ad8

31343860440 has 96 divisors (see below), whose sum is σ = 105640451280. Its totient is φ = 8358360192.

The previous prime is 31343860439. The next prime is 31343860447. The reversal of 31343860440 is 4406834313.

It is a happy number.

31343860440 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 3 + 8 + 604 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31343860395 and 31343860404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31343860447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1602619 + ... + 1622058.

Almost surely, 231343860440 is an apocalyptic number.

31343860440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31343860440 is an abundant number, since it is smaller than the sum of its proper divisors (74296590840).

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

31343860440 is a wasteful number, since it uses less digits than its factorization.

31343860440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224703 (or 3224687 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 31343860440 in words is "thirty-one billion, three hundred forty-three million, eight hundred sixty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 3224677 6449354 9674031 12898708 16123385 19348062 25797416 29022093 32246770 38696124 48370155 58044186 64493540 77392248 87066279 96740310 116088372 128987080 145110465 174132558 193480620 232176744 261198837 290220930 348265116 386961240 435331395 522397674 580441860 696530232 783596511 870662790 1044795348 1160883720 1305994185 1567193022 1741325580 2089590696 2611988370 3134386044 3482651160 3917982555 5223976740 6268772088 7835965110 10447953480 15671930220 31343860440