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5303346900 = 22352233720773
BaseRepresentation
bin1001111000001101…
…01010011011010100
3111200121011221021120
410330012222123110
541330124100100
62234125043540
7245264463525
oct47406523324
914617157246
105303346900
112281668025
1210400b65b0
1366695bbb7
143844a684c
152108c70a0
hex13c1aa6d4

5303346900 has 144 divisors (see below), whose sum is σ = 16445030784. Its totient is φ = 1316113920.

The previous prime is 5303346889. The next prime is 5303346901. The reversal of 5303346900 is 96433035.

It is a super-2 number, since 2×53033469002 = 56250976683479220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5303346901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244914 + ... + 265686.

Almost surely, 25303346900 is an apocalyptic number.

5303346900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5303346900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8222515392).

5303346900 is an abundant number, since it is smaller than the sum of its proper divisors (11141683884).

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

5303346900 is a wasteful number, since it uses less digits than its factorization.

5303346900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20850 (or 20843 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 5303346900 is about 72824.0818685687. The cubic root of 5303346900 is about 1743.8803281272.

Adding to 5303346900 its reverse (96433035), we get a palindrome (5399779935).

The spelling of 5303346900 in words is "five billion, three hundred three million, three hundred forty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 37 46 50 60 69 74 75 92 100 111 115 138 148 150 185 222 230 276 300 345 370 444 460 555 575 690 740 851 925 1110 1150 1380 1702 1725 1850 2220 2300 2553 2775 3404 3450 3700 4255 5106 5550 6900 8510 10212 11100 12765 17020 20773 21275 25530 41546 42550 51060 62319 63825 83092 85100 103865 124638 127650 207730 249276 255300 311595 415460 477779 519325 623190 768601 955558 1038650 1246380 1433337 1537202 1557975 1911116 2077300 2305803 2388895 2866674 3074404 3115950 3843005 4611606 4777790 5733348 6231900 7166685 7686010 9223212 9555580 11529015 11944475 14333370 15372020 17677823 19215025 23058030 23888950 28666740 35355646 35833425 38430050 46116060 47777900 53033469 57645075 70711292 71666850 76860100 88389115 106066938 115290150 143333700 176778230 212133876 230580300 265167345 353556460 441945575 530334690 883891150 1060669380 1325836725 1767782300 2651673450 5303346900