Search a number
-
+
3411034242 = 2371119523743
BaseRepresentation
bin1100101101010000…
…0100000010000010
322210201110111022120
43023110010002002
523441211043432
61322250145110
7150346212150
oct31324040202
98721414276
103411034242
1114a0492570
127b2422196
134248ba375
142450403d0
1514e6d6c2c
hexcb504082

3411034242 has 128 divisors (see below), whose sum is σ = 8982282240. Its totient is φ = 836619840.

The previous prime is 3411034219. The next prime is 3411034247. The reversal of 3411034242 is 2424301143.

It is not an unprimeable number, because it can be changed into a prime (3411034247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4590523 + ... + 4591265.

It is an arithmetic number, because the mean of its divisors is an integer number (70174080).

Almost surely, 23411034242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3411034242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491141120).

3411034242 is an abundant number, since it is smaller than the sum of its proper divisors (5571247998).

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

3411034242 is a wasteful number, since it uses less digits than its factorization.

3411034242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3411034242 is about 58404.0601499588. The cubic root of 3411034242 is about 1505.3195190664.

Adding to 3411034242 its reverse (2424301143), we get a palindrome (5835335385).

The spelling of 3411034242 in words is "three billion, four hundred eleven million, thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 399 418 462 523 627 743 798 1046 1254 1463 1486 1569 2229 2926 3138 3661 4389 4458 5201 5753 7322 8173 8778 9937 10402 10983 11506 14117 15603 16346 17259 19874 21966 24519 28234 29811 31206 34518 40271 42351 49038 57211 59622 69559 80542 84702 98819 109307 114422 120813 139118 155287 171633 197638 208677 218614 241626 296457 310574 327921 343266 388589 417354 465861 592914 655842 765149 777178 931722 1087009 1165767 1530298 2174018 2295447 2331534 2720123 3261027 4274479 4590894 5440246 6522054 7383191 8160369 8548958 12823437 14766382 16320738 22149573 25646874 29921353 44299146 51682337 59842706 81215101 89764059 103364674 155047011 162430202 179528118 243645303 310094022 487290606 568505707 1137011414 1705517121 3411034242