Search a number
-
+
4001340204 = 2232796012341
BaseRepresentation
bin1110111001111111…
…1001101100101100
3101022212020010212100
43232133321230230
531143320341304
61501014335100
7201104554611
oct35637715454
911285203770
104001340204
11177371a134
1293805a490
134b9ca0734
1429d5c2508
1518643c439
hexee7f9b2c

4001340204 has 72 divisors (see below), whose sum is σ = 10263955520. Its totient is φ = 1314144000.

The previous prime is 4001340193. The next prime is 4001340209. The reversal of 4001340204 is 4020431004.

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

It is not an unprimeable number, because it can be changed into a prime (4001340209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1708074 + ... + 1710414.

Almost surely, 24001340204 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 4001340204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131977760).

4001340204 is an abundant number, since it is smaller than the sum of its proper divisors (6262615316).

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

4001340204 is a wasteful number, since it uses less digits than its factorization.

4001340204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4001340204 is about 63256.1475589527. The cubic root of 4001340204 is about 1587.5783189418.

Adding to 4001340204 its reverse (4020431004), we get a palindrome (8021771208).

The spelling of 4001340204 in words is "four billion, one million, three hundred forty thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 601 711 948 1202 1422 1803 2341 2404 2844 3606 4682 5409 7023 7212 9364 10818 14046 21069 21636 28092 42138 47479 84276 94958 142437 184939 189916 284874 369878 427311 554817 569748 739756 854622 1109634 1406941 1664451 1709244 2219268 2813882 3328902 4220823 5627764 6657804 8441646 12662469 16883292 25324938 50649876 111148339 222296678 333445017 444593356 666890034 1000335051 1333780068 2000670102 4001340204