Search a number
-
+
340031610105 = 3511411011074651
BaseRepresentation
bin1001111001010110111…
…01101001110011111001
31012111200101110112011020
410330223131221303321
521032341043010410
6420113001253053
733365204666025
oct4745335516371
91174611415136
10340031610105
1112122aa854a0
1255a97a94189
13260ac5cac75
14126599bb385
158ca1d3ba70
hex4f2b769cf9

340031610105 has 128 divisors (see below), whose sum is σ = 619876841472. Its totient is φ = 157728000000.

The previous prime is 340031610101. The next prime is 340031610133. The reversal of 340031610105 is 501016130043.

It is not a de Polignac number, because 340031610105 - 22 = 340031610101 is a prime.

It is a super-2 number, since 2×3400316101052 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (340031610101) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73107030 + ... + 73111680.

It is an arithmetic number, because the mean of its divisors is an integer number (4842787824).

Almost surely, 2340031610105 is an apocalyptic number.

It is an amenable number.

340031610105 is a deficient number, since it is larger than the sum of its proper divisors (279845231367).

340031610105 is a wasteful number, since it uses less digits than its factorization.

340031610105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4919.

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 340031610105 its reverse (501016130043), we get a palindrome (841047740148).

The spelling of 340031610105 in words is "three hundred forty billion, thirty-one million, six hundred ten thousand, one hundred five".

Divisors: 1 3 5 11 15 33 41 55 101 107 123 165 205 303 321 451 505 535 615 1111 1177 1353 1515 1605 2255 3333 3531 4141 4387 4651 5555 5885 6765 10807 12423 13161 13953 16665 17655 20705 21935 23255 32421 45551 48257 51161 54035 62115 65805 69765 118877 136653 144771 153483 162105 190691 227755 241285 255805 356631 443087 469751 497657 572073 594385 683265 723855 767415 953455 1329261 1409253 1492971 1783155 2097601 2215435 2348755 2488285 2860365 4873957 5167261 5474227 6292803 6646305 7046265 7464855 10488005 14621871 15501783 16422681 19259791 20403937 24369785 25836305 27371135 31464015 50263357 57779373 61211811 73109355 77508915 82113405 96298955 102019685 150790071 211857701 224443307 251316785 288896865 306059055 552896927 635573103 673329921 753950355 1059288505 1122216535 1658690781 2060797637 2764484635 3177865515 3366649605 6182392911 8293453905 10303988185 22668774007 30911964555 68006322021 113343870035 340031610105