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3039316900 = 22523721492
BaseRepresentation
bin1011010100101000…
…0100101110100100
321211211000021222121
42311022010232210
522211031120100
61221331035324
7135213524134
oct26512045644
97754007877
103039316900
11131a684854
12709a3bb44
1339589c189
1420b91cac4
1512bc5d51a
hexb5284ba4

3039316900 has 81 divisors (see below), whose sum is σ = 6824184969. Its totient is φ = 1174930560.

The previous prime is 3039316897. The next prime is 3039316909. The reversal of 3039316900 is 96139303.

It is a happy number.

The square root of 3039316900 is 55130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1889293156 + 1150023744 = 43466^2 + 33912^2 .

It is a super-3 number, since 3×30393169003 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3039316909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20398026 + ... + 20398174.

Almost surely, 23039316900 is an apocalyptic number.

3039316900 is the 55130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3039316900

3039316900 is an abundant number, since it is smaller than the sum of its proper divisors (3784868069).

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

3039316900 is a wasteful number, since it uses less digits than its factorization.

3039316900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 34.

The cubic root of 3039316900 is about 1448.5227761706.

The spelling of 3039316900 in words is "three billion, thirty-nine million, three hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 149 185 298 370 596 740 745 925 1369 1490 1850 2738 2980 3700 3725 5476 5513 6845 7450 11026 13690 14900 22052 22201 27380 27565 34225 44402 55130 68450 88804 110260 111005 136900 137825 203981 222010 275650 407962 444020 551300 555025 815924 821437 1019905 1110050 1642874 2039810 2220100 3285748 4079620 4107185 5099525 8214370 10199050 16428740 20398100 20535925 30393169 41071850 60786338 82143700 121572676 151965845 303931690 607863380 759829225 1519658450 3039316900