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3012943700 = 2252138926041
BaseRepresentation
bin1011001110010101…
…1101111101010100
321202222101101202102
42303211131331110
522132303144300
61214545501232
7134443412264
oct26345357524
97688341672
103012943700
111306801218
12701041818
13390296c30
142082157a4
1512979e0d5
hexb395df54

3012943700 has 72 divisors (see below), whose sum is σ = 7120403640. Its totient is φ = 1099929600.

The previous prime is 3012943691. The next prime is 3012943727. The reversal of 3012943700 is 73492103.

It can be written as a sum of positive squares in 12 ways, for example, as 1056120004 + 1956823696 = 32498^2 + 44236^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 102680 + ... + 128720.

It is an arithmetic number, because the mean of its divisors is an integer number (98894495).

Almost surely, 23012943700 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 3012943700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560201820).

3012943700 is an abundant number, since it is smaller than the sum of its proper divisors (4107459940).

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

3012943700 is a wasteful number, since it uses less digits than its factorization.

3012943700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26157 (or 26150 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 3012943700 is about 54890.2878476694. The cubic root of 3012943700 is about 1444.3208216138.

The spelling of 3012943700 in words is "three billion, twelve million, nine hundred forty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 89 100 130 178 260 325 356 445 650 890 1157 1300 1780 2225 2314 4450 4628 5785 8900 11570 23140 26041 28925 52082 57850 104164 115700 130205 260410 338533 520820 651025 677066 1302050 1354132 1692665 2317649 2604100 3385330 4635298 6770660 8463325 9270596 11588245 16926650 23176490 30129437 33853300 46352980 57941225 60258874 115882450 120517748 150647185 231764900 301294370 602588740 753235925 1506471850 3012943700