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31343404340 = 22519432119091
BaseRepresentation
bin11101001100001101…
…100110010100110100
32222220101010220200102
4131030031212110310
51003142402414330
622222101533232
72156501353403
oct351415462464
988811126612
1031343404340
1112324597656
1260a8a14218
132c567b9301
141734a2763a
15c36a3e945
hex74c366534

31343404340 has 96 divisors (see below), whose sum is σ = 71240547840. Its totient is φ = 11545027200.

The previous prime is 31343404327. The next prime is 31343404349. The reversal of 31343404340 is 4340434313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31343404349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3443195 + ... + 3452285.

It is an arithmetic number, because the mean of its divisors is an integer number (742089040).

Almost surely, 231343404340 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 31343404340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35620273920).

31343404340 is an abundant number, since it is smaller than the sum of its proper divisors (39897143500).

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

31343404340 is a wasteful number, since it uses less digits than its factorization.

31343404340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9373 (or 9371 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 31343404340 its reverse (4340434313), we get a palindrome (35683838653).

The spelling of 31343404340 in words is "thirty-one billion, three hundred forty-three million, four hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 172 190 211 215 380 422 430 817 844 860 1055 1634 2110 3268 4009 4085 4220 8018 8170 9073 9091 16036 16340 18146 18182 20045 36292 36364 40090 45365 45455 80180 90730 90910 172387 172729 181460 181820 344774 345458 390913 689548 690916 781826 861935 863645 1563652 1723870 1727290 1918201 1954565 3447740 3454580 3836402 3909130 7427347 7672804 7818260 9591005 14854694 19182010 29709388 36445819 37136735 38364020 72891638 74273470 82482643 145783276 148546940 164965286 182229095 329930572 364458190 412413215 728916380 824826430 1567170217 1649652860 3134340434 6268680868 7835851085 15671702170 31343404340