Search a number
-
+
656024340 = 223543892857
BaseRepresentation
bin100111000110100…
…010001100010100
31200201102111012210
4213012202030110
52320420234330
6145032513420
722154054256
oct4706421424
91621374183
10656024340
11307343884
1216384b870
13a5bb30aa
14631abcd6
153c8d78b0
hex271a2314

656024340 has 96 divisors (see below), whose sum is σ = 1901370240. Its totient is φ = 168892416.

The previous prime is 656024323. The next prime is 656024351. The reversal of 656024340 is 43420656.

656024340 is digitally balanced in base 6, 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 = 656024298 and 656024307.

It is a congruent number.

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, 228192 + ... + 231048.

It is an arithmetic number, because the mean of its divisors is an integer number (19805940).

Almost surely, 2656024340 is an apocalyptic number.

656024340 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 656024340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950685120).

656024340 is an abundant number, since it is smaller than the sum of its proper divisors (1245345900).

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

656024340 is a wasteful number, since it uses less digits than its factorization.

656024340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 656024340 is about 25612.9721039945. The cubic root of 656024340 is about 868.9070434313.

Adding to 656024340 its reverse (43420656), we get a palindrome (699444996).

The spelling of 656024340 in words is "six hundred fifty-six million, twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 89 129 172 178 215 258 267 356 430 445 516 534 645 860 890 1068 1290 1335 1780 2580 2670 2857 3827 5340 5714 7654 8571 11428 11481 14285 15308 17142 19135 22962 28570 34284 38270 42855 45924 57140 57405 76540 85710 114810 122851 171420 229620 245702 254273 368553 491404 508546 614255 737106 762819 1017092 1228510 1271365 1474212 1525638 1842765 2457020 2542730 3051276 3685530 3814095 5085460 7371060 7628190 10933739 15256380 21867478 32801217 43734956 54668695 65602434 109337390 131204868 164006085 218674780 328012170 656024340