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631616340 = 2235233471319
BaseRepresentation
bin100101101001011…
…011001101010100
31122000111102201210
4211221123031110
52243143210330
6142401421420
721436436025
oct4551331524
91560442653
10631616340
112a4592783
1215763a870
13a0b184a4
145dc56c4c
153a6b58b0
hex25a5b354

631616340 has 96 divisors (see below), whose sum is σ = 1852139520. Its totient is φ = 160521856.

The previous prime is 631616309. The next prime is 631616341. The reversal of 631616340 is 43616136.

631616340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 631616298 and 631616307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631616341) 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, 478201 + ... + 479519.

It is an arithmetic number, because the mean of its divisors is an integer number (19293120).

Almost surely, 2631616340 is an apocalyptic number.

631616340 is a gapful number since it is divisible by the number (60) 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 631616340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926069760).

631616340 is an abundant number, since it is smaller than the sum of its proper divisors (1220523180).

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

631616340 is a wasteful number, since it uses less digits than its factorization.

631616340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 631616340 is about 25131.9784338599. The cubic root of 631616340 is about 857.9943979508.

The spelling of 631616340 in words is "six hundred thirty-one million, six hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 347 460 690 694 1041 1319 1380 1388 1735 2082 2638 3470 3957 4164 5205 5276 6595 6940 7914 7981 10410 13190 15828 15962 19785 20820 23943 26380 30337 31924 39570 39905 47886 60674 79140 79810 91011 95772 119715 121348 151685 159620 182022 239430 303370 364044 455055 457693 478860 606740 910110 915386 1373079 1820220 1830772 2288465 2746158 4576930 5492316 6865395 9153860 10526939 13730790 21053878 27461580 31580817 42107756 52634695 63161634 105269390 126323268 157904085 210538780 315808170 631616340