Search a number
-
+
3294729048 = 23313191095099
BaseRepresentation
bin1100010001100001…
…1001001101011000
322111121121120120210
43010120121031120
523221422312143
61302533251120
7144434510022
oct30430311530
98447546523
103294729048
111440874776
1277b493aa0
13406788120
14233807012
151443b1033
hexc4619358

3294729048 has 128 divisors (see below), whose sum is σ = 9424800000. Its totient is φ = 951409152.

The previous prime is 3294729041. The next prime is 3294729079. The reversal of 3294729048 is 8409274923.

It is a junction number, because it is equal to n+sod(n) for n = 3294728988 and 3294729006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3294729041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643603 + ... + 648701.

It is an arithmetic number, because the mean of its divisors is an integer number (73631250).

Almost surely, 23294729048 is an apocalyptic number.

3294729048 is a gapful number since it is divisible by the number (38) 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 3294729048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712400000).

3294729048 is an abundant number, since it is smaller than the sum of its proper divisors (6130070952).

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

3294729048 is a wasteful number, since it uses less digits than its factorization.

3294729048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5249 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 3294729048 is about 57399.7303826420. The cubic root of 3294729048 is about 1488.0124615964.

The spelling of 3294729048 in words is "three billion, two hundred ninety-four million, seven hundred twenty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 109 114 152 156 218 228 247 312 327 436 456 494 654 741 872 988 1308 1417 1482 1976 2071 2616 2834 2964 4142 4251 5099 5668 5928 6213 8284 8502 10198 11336 12426 15297 16568 17004 20396 24852 26923 30594 34008 40792 49704 53846 61188 66287 80769 96881 107692 122376 132574 161538 193762 198861 215384 265148 290643 323076 387524 397722 530296 555791 581286 646152 775048 795444 1111582 1162572 1259453 1590888 1667373 2223164 2325144 2518906 3334746 3778359 4446328 5037812 6669492 7225283 7556718 10075624 10560029 13338984 14450566 15113436 21120058 21675849 28901132 30226872 31680087 42240116 43351698 57802264 63360174 84480232 86703396 126720348 137280377 173406792 253440696 274560754 411841131 549121508 823682262 1098243016 1647364524 3294729048