Search a number
-
+
3134223040 = 26513811929
BaseRepresentation
bin1011101011010000…
…0111001011000000
322002102121000201211
42322310013023000
522404330114130
61235001135504
7140445312334
oct27264071300
98072530654
103134223040
111369207183
1273578a594
133ac44b260
1421a3857c4
15135258a2a
hexbad072c0

3134223040 has 112 divisors (see below), whose sum is σ = 8056046880. Its totient is φ = 1154580480.

The previous prime is 3134223023. The next prime is 3134223049. The reversal of 3134223040 is 403224313.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3134223049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3373296 + ... + 3374224.

It is an arithmetic number, because the mean of its divisors is an integer number (71928990).

Almost surely, 23134223040 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 3134223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028023440).

3134223040 is an abundant number, since it is smaller than the sum of its proper divisors (4921823840).

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

3134223040 is a wasteful number, since it uses less digits than its factorization.

3134223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3134223040 is about 55984.1320375694. The cubic root of 3134223040 is about 1463.4457674945.

Adding to 3134223040 its reverse (403224313), we get a palindrome (3537447353).

The spelling of 3134223040 in words is "three billion, one hundred thirty-four million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 811 832 929 1040 1622 1858 2080 3244 3716 4055 4160 4645 6488 7432 8110 9290 10543 12077 12976 14864 16220 18580 21086 24154 25952 29728 32440 37160 42172 48308 51904 52715 59456 60385 64880 74320 84344 96616 105430 120770 129760 148640 168688 193232 210860 241540 259520 297280 337376 386464 421720 483080 674752 753419 772928 843440 966160 1506838 1686880 1932320 3013676 3373760 3767095 3864640 6027352 7534190 9794447 12054704 15068380 19588894 24109408 30136760 39177788 48218816 48972235 60273520 78355576 97944470 120547040 156711152 195888940 241094080 313422304 391777880 626844608 783555760 1567111520 3134223040