Search a number
-
+
340400004 = 223717922639
BaseRepresentation
bin10100010010100…
…001011110000100
3212201112010000120
4110102201132010
51144120300004
653435541540
711302231560
oct2422413604
9781463016
10340400004
1116516861a
1295bba8b0
13556a4729
14332cc6a0
151ed3e3d9
hex144a1784

340400004 has 48 divisors (see below), whose sum is σ = 912844800. Its totient is φ = 96709536.

The previous prime is 340399981. The next prime is 340400017. The reversal of 340400004 is 400004043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3717 + ... + 26355.

It is an arithmetic number, because the mean of its divisors is an integer number (19017600).

Almost surely, 2340400004 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 340400004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456422400).

340400004 is an abundant number, since it is smaller than the sum of its proper divisors (572444796).

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

340400004 is a wasteful number, since it uses less digits than its factorization.

340400004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22832 (or 22830 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 340400004 is about 18449.9323575996. The cubic root of 340400004 is about 698.2268072989.

Adding to 340400004 its reverse (400004043), we get a palindrome (740404047).

The spelling of 340400004 in words is "three hundred forty million, four hundred thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 179 358 537 716 1074 1253 2148 2506 3759 5012 7518 15036 22639 45278 67917 90556 135834 158473 271668 316946 475419 633892 950838 1901676 4052381 8104762 12157143 16209524 24314286 28366667 48628572 56733334 85100001 113466668 170200002 340400004