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3134534700 = 22352116714177
BaseRepresentation
bin1011101011010101…
…0011010000101100
322002110011212020210
42322311103100230
522404420102300
61235011542420
7140451051063
oct27265232054
98073155223
103134534700
1113693aa350
127358baa10
133ac52a07b
1421a4271da
151352bb050
hexbad5342c

3134534700 has 144 divisors (see below), whose sum is σ = 10042107264. Its totient is φ = 748492800.

The previous prime is 3134534603. The next prime is 3134534701. The reversal of 3134534700 is 74354313.

3134534700 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3134534701) 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, 214012 + ... + 228188.

It is an arithmetic number, because the mean of its divisors is an integer number (69736856).

Almost surely, 23134534700 is an apocalyptic number.

3134534700 is a gapful number since it is divisible by the number (30) 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 3134534700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5021053632).

3134534700 is an abundant number, since it is smaller than the sum of its proper divisors (6907572564).

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

3134534700 is a wasteful number, since it uses less digits than its factorization.

3134534700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14272 (or 14265 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 3134534700 is about 55986.9154356623. The cubic root of 3134534700 is about 1463.4942731246.

The spelling of 3134534700 in words is "three billion, one hundred thirty-four million, five hundred thirty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 67 75 100 110 132 134 150 165 201 220 268 275 300 330 335 402 550 660 670 737 804 825 1005 1100 1340 1474 1650 1675 2010 2211 2948 3300 3350 3685 4020 4422 5025 6700 7370 8844 10050 11055 14177 14740 18425 20100 22110 28354 36850 42531 44220 55275 56708 70885 73700 85062 110550 141770 155947 170124 212655 221100 283540 311894 354425 425310 467841 623788 708850 779735 850620 935682 949859 1063275 1417700 1559470 1871364 1899718 2126550 2339205 2849577 3118940 3799436 3898675 4253100 4678410 4749295 5699154 7797350 9356820 9498590 10448449 11398308 11696025 14247885 15594700 18997180 20896898 23392050 23746475 28495770 31345347 41793796 46784100 47492950 52242245 56991540 62690694 71239425 94985900 104484490 125381388 142478850 156726735 208968980 261211225 284957700 313453470 522422450 626906940 783633675 1044844900 1567267350 3134534700