Search a number
-
+
3023146080 = 253257328759
BaseRepresentation
bin1011010000110001…
…1000110001100000
321210200120201210100
42310030120301200
522142411133310
61215552302400
7134626213653
oct26414306140
97720521710
103023146080
11131153a439
12704541a00
13392429946
1420970d89a
1512a616ec0
hexb4318c60

3023146080 has 144 divisors (see below), whose sum is σ = 10458171360. Its totient is φ = 795101184.

The previous prime is 3023146073. The next prime is 3023146103. The reversal of 3023146080 is 806413203.

It is a happy number.

3023146080 is a `hidden beast` number, since 30 + 23 + 1 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90741 + ... + 119499.

It is an arithmetic number, because the mean of its divisors is an integer number (72626190).

Almost surely, 23023146080 is an apocalyptic number.

3023146080 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 3023146080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5229085680).

3023146080 is an abundant number, since it is smaller than the sum of its proper divisors (7435025280).

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

3023146080 is a wasteful number, since it uses less digits than its factorization.

3023146080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28853 (or 28842 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3023146080 is about 54983.1435987431. The cubic root of 3023146080 is about 1445.9492300374.

Adding to 3023146080 its reverse (806413203), we get a palindrome (3829559283).

The spelling of 3023146080 in words is "three billion, twenty-three million, one hundred forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 73 80 90 96 120 144 146 160 180 219 240 288 292 360 365 438 480 584 657 720 730 876 1095 1168 1314 1440 1460 1752 2190 2336 2628 2920 3285 3504 4380 5256 5840 6570 7008 8760 10512 11680 13140 17520 21024 26280 28759 35040 52560 57518 86277 105120 115036 143795 172554 230072 258831 287590 345108 431385 460144 517662 575180 690216 862770 920288 1035324 1150360 1294155 1380432 1725540 2070648 2099407 2300720 2588310 2760864 3451080 4141296 4198814 4601440 5176620 6298221 6902160 8282592 8397628 10353240 10497035 12596442 13804320 16795256 18894663 20706480 20994070 25192884 31491105 33590512 37789326 41412960 41988140 50385768 62982210 67181024 75578652 83976280 94473315 100771536 125964420 151157304 167952560 188946630 201543072 251928840 302314608 335905120 377893260 503857680 604629216 755786520 1007715360 1511573040 3023146080