Search a number
-
+
340729019000 = 23531847184477
BaseRepresentation
bin1001111010101010000…
…10000011101001111000
31012120110222202120022022
410331111002003221320
521040303112102000
6420310113214012
733421403606066
oct4752502035170
91176428676268
10340729019000
11121558715087
1256051561308
1326190c40b56
14126c447d036
158ce319b585
hex4f55083a78

340729019000 has 64 divisors (see below), whose sum is σ = 797741904960. Its totient is φ = 136217078400.

The previous prime is 340729018991. The next prime is 340729019077. The reversal of 340729019000 is 910927043.

It is a super-2 number, since 2×3407290190002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1754762 + ... + 1939238.

It is an arithmetic number, because the mean of its divisors is an integer number (12464717265).

Almost surely, 2340729019000 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 340729019000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398870952480).

340729019000 is an abundant number, since it is smaller than the sum of its proper divisors (457012885960).

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

340729019000 is a wasteful number, since it uses less digits than its factorization.

340729019000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186345 (or 186331 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The spelling of 340729019000 in words is "three hundred forty billion, seven hundred twenty-nine million, nineteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1847 3694 7388 9235 14776 18470 36940 46175 73880 92350 184477 184700 230875 368954 369400 461750 737908 922385 923500 1475816 1844770 1847000 3689540 4611925 7379080 9223850 18447700 23059625 36895400 46119250 92238500 184477000 340729019 681458038 1362916076 1703645095 2725832152 3407290190 6814580380 8518225475 13629160760 17036450950 34072901900 42591127375 68145803800 85182254750 170364509500 340729019000