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3000034400 = 255211340913
BaseRepresentation
bin1011001011010000…
…1110010001100000
321202002002112112012
42302310032101200
522121002100100
61213405052052
7134225604656
oct26264162140
97662075465
103000034400
1112aa494280
126b8857028
1338a6c70ac
14206614dd6
1512859e135
hexb2d0e460

3000034400 has 72 divisors (see below), whose sum is σ = 7989660504. Its totient is φ = 1090918400.

The previous prime is 3000034381. The next prime is 3000034409. The reversal of 3000034400 is 44300003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000034409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161657 + ... + 179256.

It is an arithmetic number, because the mean of its divisors is an integer number (110967507).

Almost surely, 23000034400 is an apocalyptic number.

It is an amenable number.

3000034400 is an abundant number, since it is smaller than the sum of its proper divisors (4989626104).

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

3000034400 is a wasteful number, since it uses less digits than its factorization.

3000034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340944 (or 340931 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 3000034400 is about 54772.5697772160. The cubic root of 3000034400 is about 1442.2550828847.

Adding to 3000034400 its reverse (44300003), we get a palindrome (3044334403).

It can be divided in two parts, 300003 and 4400, that added together give a palindrome (304403).

The spelling of 3000034400 in words is "three billion, thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 340913 681826 1363652 1704565 2727304 3409130 3750043 5454608 6818260 7500086 8522825 10909216 13636520 15000172 17045650 18750215 27273040 30000344 34091300 37500430 54546080 60000688 68182600 75000860 93751075 120001376 136365200 150001720 187502150 272730400 300003440 375004300 600006880 750008600 1500017200 3000034400