Search a number
-
+
3134184048 = 2432294631621
BaseRepresentation
bin1011101011001111…
…1101101001110000
322002102112001020200
42322303331221300
522404322342143
61235000235200
7140445060552
oct27263755160
98072461220
103134184048
11136918a956
1273576bb00
133ac436598
1421a3754d2
1513524c1d3
hexbacfda70

3134184048 has 120 divisors (see below), whose sum is σ = 9099030720. Its totient is φ = 1005903360.

The previous prime is 3134183993. The next prime is 3134184113. The reversal of 3134184048 is 8404814313.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1932678 + ... + 1934298.

It is an arithmetic number, because the mean of its divisors is an integer number (75825256).

Almost surely, 23134184048 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 3134184048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549515360).

3134184048 is an abundant number, since it is smaller than the sum of its proper divisors (5964846672).

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

3134184048 is a wasteful number, since it uses less digits than its factorization.

3134184048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3134184048 is about 55983.7837949526. The cubic root of 3134184048 is about 1463.4396986949.

The spelling of 3134184048 in words is "three billion, one hundred thirty-four million, one hundred eighty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 463 464 522 696 926 1044 1389 1392 1621 1852 2088 2778 3242 3704 4167 4176 4863 5556 6484 7408 8334 9726 11112 12968 13427 14589 16668 19452 22224 25936 26854 29178 33336 38904 40281 47009 53708 58356 66672 77808 80562 94018 107416 116712 120843 141027 161124 188036 214832 233424 241686 282054 322248 376072 423081 483372 564108 644496 750523 752144 846162 966744 1128216 1501046 1692324 1933488 2251569 2256432 3002092 3384648 4503138 6004184 6754707 6769296 9006276 12008368 13509414 18012552 21765167 27018828 36025104 43530334 54037656 65295501 87060668 108075312 130591002 174121336 195886503 261182004 348242672 391773006 522364008 783546012 1044728016 1567092024 3134184048