Search a number
-
+
3410344014 = 2371113753881
BaseRepresentation
bin1100101101000101…
…1011100001001110
322210200011102111120
43023101123201032
523441022002024
61322223301410
7150340305630
oct31321334116
98720142446
103410344014
1114a0060a30
127b214a866
1342470814c
14244d00a50
1514e5ec479
hexcb45b84e

3410344014 has 64 divisors (see below), whose sum is σ = 8565944832. Its totient is φ = 879321600.

The previous prime is 3410343967. The next prime is 3410344033. The reversal of 3410344014 is 4104430143.

3410344014 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36354 + ... + 90234.

It is an arithmetic number, because the mean of its divisors is an integer number (133842888).

Almost surely, 23410344014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3410344014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4282972416).

3410344014 is an abundant number, since it is smaller than the sum of its proper divisors (5155600818).

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

3410344014 is a wasteful number, since it uses less digits than its factorization.

3410344014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54041.

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

The square root of 3410344014 is about 58398.1507755169. The cubic root of 3410344014 is about 1505.2179776475.

Adding to 3410344014 its reverse (4104430143), we get a palindrome (7514774157).

The spelling of 3410344014 in words is "three billion, four hundred ten million, three hundred forty-four thousand, fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 137 154 231 274 411 462 822 959 1507 1918 2877 3014 4521 5754 9042 10549 21098 31647 53881 63294 107762 161643 323286 377167 592691 754334 1131501 1185382 1778073 2263002 3556146 4148837 7381697 8297674 12446511 14763394 22145091 24893022 44290182 51671879 81198667 103343758 155015637 162397334 243596001 310031274 487192002 568390669 1136781338 1705172007 3410344014