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1343753112 = 2331319419541
BaseRepresentation
bin101000000011000…
…0000101110011000
310110122111201201210
41100012000232120
510223000044422
6341201143120
745204466362
oct12006005630
93418451653
101343753112
1162a571669
1231602aaa0
13185516bb0
14ca66dd32
157ce8410c
hex50180b98

1343753112 has 128 divisors (see below), whose sum is σ = 3824352000. Its totient is φ = 390044160.

The previous prime is 1343753111. The next prime is 1343753119. The reversal of 1343753112 is 2113573431.

It is a self number, because there is not a number n which added to its sum of digits gives 1343753112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343753111) 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, 2483562 + ... + 2484102.

It is an arithmetic number, because the mean of its divisors is an integer number (29877750).

Almost surely, 21343753112 is an apocalyptic number.

1343753112 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 1343753112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912176000).

1343753112 is an abundant number, since it is smaller than the sum of its proper divisors (2480598888).

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

1343753112 is a wasteful number, since it uses less digits than its factorization.

1343753112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 997 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 1343753112 is about 36657.2381938411. The cubic root of 1343753112 is about 1103.5020924786.

The spelling of 1343753112 in words is "one billion, three hundred forty-three million, seven hundred fifty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 419 456 494 541 741 838 988 1082 1257 1482 1623 1676 1976 2164 2514 2964 3246 3352 4328 5028 5447 5928 6492 7033 7961 10056 10279 10894 12984 14066 15922 16341 20558 21099 21788 23883 28132 30837 31844 32682 41116 42198 43576 47766 56264 61674 63688 65364 82232 84396 95532 103493 123348 130728 133627 168792 191064 206986 226679 246696 267254 310479 400881 413972 453358 534508 620958 680037 801762 827944 906716 1069016 1241916 1360074 1603524 1813432 2483832 2720148 2946827 3207048 4306901 5440296 5893654 8613802 8840481 11787308 12920703 17227604 17680962 23574616 25841406 34455208 35361924 51682812 55989713 70723848 103365624 111979426 167969139 223958852 335938278 447917704 671876556 1343753112