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3411001120 = 25597271811
BaseRepresentation
bin1100101101001111…
…1011111100100000
322210201101210212211
43023103323330200
523441204013440
61322245331504
7150346013452
oct31323737440
98721353784
103411001120
1114a046a69a
127b2406b94
134248a8277
142450322d2
1514e6cbeea
hexcb4fbf20

3411001120 has 96 divisors (see below), whose sum is σ = 8181686016. Its totient is φ = 1343692800.

The previous prime is 3411001093. The next prime is 3411001123. The reversal of 3411001120 is 211001143.

It is a self number, because there is not a number n which added to its sum of digits gives 3411001120.

It is not an unprimeable number, because it can be changed into a prime (3411001123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4205515 + ... + 4206325.

It is an arithmetic number, because the mean of its divisors is an integer number (85225896).

Almost surely, 23411001120 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 3411001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090843008).

3411001120 is an abundant number, since it is smaller than the sum of its proper divisors (4770684896).

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

3411001120 is a wasteful number, since it uses less digits than its factorization.

3411001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 3411001120 is about 58403.7765902172. The cubic root of 3411001120 is about 1505.3146467070.

Adding to 3411001120 its reverse (211001143), we get a palindrome (3622002263).

The spelling of 3411001120 in words is "three billion, four hundred eleven million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 271 388 485 542 776 811 970 1084 1355 1552 1622 1940 2168 2710 3104 3244 3880 4055 4336 5420 6488 7760 8110 8672 10840 12976 15520 16220 21680 25952 26287 32440 43360 52574 64880 78667 105148 129760 131435 157334 210296 219781 262870 314668 393335 420592 439562 525740 629336 786670 841184 879124 1051480 1098905 1258672 1573340 1758248 2102960 2197810 2517344 3146680 3516496 4205920 4395620 6293360 7032992 8791240 12586720 17582480 21318757 35164960 42637514 85275028 106593785 170550056 213187570 341100112 426375140 682200224 852750280 1705500560 3411001120