Search a number
-
+
340311023104 = 2913392313033
BaseRepresentation
bin1001111001111000001…
…11100001111000000000
31012112101212020011201211
410330330013201320000
521033424110214404
6420200422135504
733405136653133
oct4747407417000
91175355204654
10340311023104
11121363778628
1255b55581594
132612546b3c0
1412684b5221a
158cbb630b04
hex4f3c1e1e00

340311023104 has 80 divisors (see below), whose sum is σ = 732504647952. Its totient is φ = 157014540288.

The previous prime is 340311023083. The next prime is 340311023119. The reversal of 340311023104 is 401320113043.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26104972 + ... + 26118004.

Almost surely, 2340311023104 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 340311023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366252323976).

340311023104 is an abundant number, since it is smaller than the sum of its proper divisors (392193624848).

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

340311023104 is a wasteful number, since it uses less digits than its factorization.

340311023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16987 (or 16971 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 340311023104 its reverse (401320113043), we get a palindrome (741631136147).

The spelling of 340311023104 in words is "three hundred forty billion, three hundred eleven million, twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 3328 3923 6656 7846 13033 15692 26066 31384 50999 52132 62768 101998 104264 125536 169429 203996 208528 251072 338858 407992 417056 502144 677716 815984 834112 1004288 1355432 1631968 1668224 2008576 2710864 3263936 3336448 5421728 6527872 6672896 10843456 13055744 21686912 26111488 43373824 51128459 86747648 102256918 204513836 409027672 664669967 818055344 1329339934 1636110688 2658679868 3272221376 5317359736 6544442752 10634719472 13088885504 21269438944 26177771008 42538877888 85077755776 170155511552 340311023104