Search a number
-
+
340969916544 = 2736764320611
BaseRepresentation
bin1001111011000110110…
…01000000100010000000
31012121002210001102121120
410331203121000202000
521041301244312134
6420350040352240
733430360320225
oct4754331004200
91177083042546
10340969916544
111216716a0a64
12560ba175680
13261cbb1738a
141270846994c
158d093d3649
hex4f63640880

340969916544 has 128 divisors (see below), whose sum is σ = 920693518080. Its totient is φ = 111780725760.

The previous prime is 340969916531. The next prime is 340969916591. The reversal of 340969916544 is 445619969043.

It is a tau number, because it is divible by the number of its divisors (128).

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, 16532799 + ... + 16553409.

It is an arithmetic number, because the mean of its divisors is an integer number (7192918110).

Almost surely, 2340969916544 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 340969916544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460346759040).

340969916544 is an abundant number, since it is smaller than the sum of its proper divisors (579723601536).

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

340969916544 is a wasteful number, since it uses less digits than its factorization.

340969916544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21338 (or 21326 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 60.

It can be divided in two parts, 3409699 and 16544, that added together give a palindrome (3426243).

The spelling of 340969916544 in words is "three hundred forty billion, nine hundred sixty-nine million, nine hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 268 384 402 536 643 804 1072 1286 1608 1929 2144 2572 3216 3858 4288 5144 6432 7716 8576 10288 12864 15432 20576 20611 25728 30864 41152 41222 43081 61728 61833 82304 82444 86162 123456 123666 129243 164888 172324 246912 247332 258486 329776 344648 494664 516972 659552 689296 989328 1033944 1319104 1378592 1380937 1978656 2067888 2638208 2757184 2761874 3957312 4135776 4142811 5514368 5523748 7914624 8271552 8285622 11047496 13252873 16543104 16571244 22094992 26505746 33142488 39758619 44189984 53011492 66284976 79517238 88379968 106022984 132569952 159034476 176759936 212045968 265139904 318068952 424091936 530279808 636137904 848183872 887942491 1272275808 1696367744 1775884982 2544551616 2663827473 3551769964 5089103232 5327654946 7103539928 10655309892 14207079856 21310619784 28414159712 42621239568 56828319424 85242479136 113656638848 170484958272 340969916544