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1240002312 = 2332337109557
BaseRepresentation
bin100100111101000…
…1110111100001000
310012102021122101120
41021322032330020
510014420033222
6323013315240
742504563043
oct11172167410
93172248346
101240002312
11586a490aa
122a7335b20
13169b8c0a3
14ba983c5a
1573cdd15c
hex49e8ef08

1240002312 has 128 divisors (see below), whose sum is σ = 3358713600. Its totient is φ = 380464128.

The previous prime is 1240002293. The next prime is 1240002341. The reversal of 1240002312 is 2132000421.

It is a junction number, because it is equal to n+sod(n) for n = 1240002291 and 1240002300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2225938 + ... + 2226494.

It is an arithmetic number, because the mean of its divisors is an integer number (26239950).

Almost surely, 21240002312 is an apocalyptic number.

1240002312 is a gapful number since it is divisible by the number (12) 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 1240002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679356800).

1240002312 is an abundant number, since it is smaller than the sum of its proper divisors (2118711288).

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

1240002312 is a wasteful number, since it uses less digits than its factorization.

1240002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1240002312 is about 35213.6665514967. Note that the first 3 decimals coincide. The cubic root of 1240002312 is about 1074.3377386948.

Adding to 1240002312 its reverse (2132000421), we get a palindrome (3372002733).

The spelling of 1240002312 in words is "one billion, two hundred forty million, two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 109 111 138 148 184 218 222 276 296 327 436 444 552 557 654 851 872 888 1114 1308 1671 1702 2228 2507 2553 2616 3342 3404 4033 4456 5014 5106 6684 6808 7521 8066 10028 10212 12099 12811 13368 15042 16132 20056 20424 20609 24198 25622 30084 32264 38433 41218 48396 51244 60168 60713 61827 76866 82436 92759 96792 102488 121426 123654 153732 164872 182139 185518 242852 247308 278277 307464 364278 371036 474007 485704 494616 556554 728556 742072 948014 1113108 1396399 1422021 1457112 1896028 2226216 2246381 2792798 2844042 3792056 4189197 4492762 5585596 5688084 6739143 8378394 8985524 11171192 11376168 13478286 16756788 17971048 26956572 33513576 51666763 53913144 103333526 155000289 206667052 310000578 413334104 620001156 1240002312