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5345303400 = 233452329957
BaseRepresentation
bin1001111101001101…
…01101101101101000
3111210112010112210000
410332212231231220
541421344202100
62242224223000
7246314220633
oct47646555550
914715115700
105345303400
1122a3314618
12105216aa60
1367255c128
14389ca8c1a
15214413900
hex13e9adb68

5345303400 has 120 divisors (see below), whose sum is σ = 18565086870. Its totient is φ = 1425409920.

The previous prime is 5345303389. The next prime is 5345303401. The reversal of 5345303400 is 43035435.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3019942116 + 2325361284 = 54954^2 + 48222^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5345303401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 148779 + ... + 181178.

Almost surely, 25345303400 is an apocalyptic number.

5345303400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5345303400 is an abundant number, since it is smaller than the sum of its proper divisors (13219783470).

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

5345303400 is a wasteful number, since it uses less digits than its factorization.

5345303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329985 (or 329967 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 5345303400 is about 73111.5818458334. The cubic root of 5345303400 is about 1748.4670548591.

Adding to 5345303400 its reverse (43035435), we get a palindrome (5388338835).

The spelling of 5345303400 in words is "five billion, three hundred forty-five million, three hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 329957 659914 989871 1319828 1649785 1979742 2639656 2969613 3299570 3959484 4949355 5939226 6599140 7918968 8248925 8908839 9898710 11878452 13198280 14848065 16497850 17817678 19797420 23756904 24746775 26726517 29696130 32995700 35635356 39594840 44544195 49493550 53453034 59392260 65991400 71270712 74240325 89088390 98987100 106906068 118784520 133632585 148480650 178176780 197974200 213812136 222720975 267265170 296961300 356353560 445441950 534530340 593922600 668162925 890883900 1069060680 1336325850 1781767800 2672651700 5345303400