Search a number
-
+
340540464 = 243112173449
BaseRepresentation
bin10100010011000…
…011110000110000
3212201210020200210
4110103003300300
51144134243324
653442544120
711303355225
oct2423036060
9781706623
10340540464
11165254100
1296068040
1355723644
143332794c
151ed6ad29
hex144c3c30

340540464 has 120 divisors (see below), whose sum is σ = 1024153200. Its totient is φ = 97095680.

The previous prime is 340540463. The next prime is 340540493. The reversal of 340540464 is 464045043.

It is not an unprimeable number, because it can be changed into a prime (340540463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97012 + ... + 100460.

It is an arithmetic number, because the mean of its divisors is an integer number (8534610).

Almost surely, 2340540464 is an apocalyptic number.

340540464 is a gapful number since it is divisible by the number (34) 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 340540464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512076600).

340540464 is an abundant number, since it is smaller than the sum of its proper divisors (683612736).

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

340540464 is a wasteful number, since it uses less digits than its factorization.

340540464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 340540464 is about 18453.7384830283. The cubic root of 340540464 is about 698.3228310454.

The spelling of 340540464 in words is "three hundred forty million, five hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 121 132 136 176 187 204 242 264 272 363 374 408 484 528 561 726 748 816 968 1122 1452 1496 1936 2057 2244 2904 2992 3449 4114 4488 5808 6171 6898 8228 8976 10347 12342 13796 16456 20694 24684 27592 32912 37939 41388 49368 55184 58633 75878 82776 98736 113817 117266 151756 165552 175899 227634 234532 303512 351798 417329 455268 469064 607024 644963 703596 834658 910536 938128 1251987 1289926 1407192 1669316 1821072 1934889 2503974 2579852 2814384 3338632 3869778 5007948 5159704 6677264 7094593 7739556 10015896 10319408 14189186 15479112 20031792 21283779 28378372 30958224 42567558 56756744 85135116 113513488 170270232 340540464