Search a number
-
+
3401134002 = 233721775611
BaseRepresentation
bin1100101010111001…
…0010111110110010
322210000211111202000
43022232102332302
523431142242002
61321254034430
7150166106400
oct31256227662
98700744660
103401134002
111495940352
127ab048a16
13422832036
142439c4470
1514d8cd61c
hexcab92fb2

3401134002 has 96 divisors (see below), whose sum is σ = 9309349440. Its totient is φ = 914578560.

The previous prime is 3401133997. The next prime is 3401134013. The reversal of 3401134002 is 2004311043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7177 + ... + 82787.

It is an arithmetic number, because the mean of its divisors is an integer number (96972390).

Almost surely, 23401134002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401134002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654674720).

3401134002 is an abundant number, since it is smaller than the sum of its proper divisors (5908215438).

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

3401134002 is a wasteful number, since it uses less digits than its factorization.

3401134002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75653 (or 75640 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3401134002 is about 58319.2421247053. The cubic root of 3401134002 is about 1503.8617533753.

Adding to 3401134002 its reverse (2004311043), we get a palindrome (5405445045).

The spelling of 3401134002 in words is "three billion, four hundred one million, one hundred thirty-four thousand, two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 98 102 119 126 147 153 189 238 294 306 357 378 441 459 714 833 882 918 1071 1323 1666 2142 2499 2646 3213 4998 6426 7497 14994 22491 44982 75611 151222 226833 453666 529277 680499 1058554 1285387 1360998 1587831 2041497 2570774 3175662 3704939 3856161 4082994 4763493 7409878 7712322 8997709 9526986 11114817 11568483 14290479 17995418 22229634 23136966 26993127 28580958 33344451 34705449 53986254 62983963 66688902 69410898 80979381 100033353 125967926 161958762 188951889 200066706 242938143 377903778 485876286 566855667 1133711334 1700567001 3401134002