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3041709312 = 28329413331
BaseRepresentation
bin1011010101001100…
…1100110100000000
321211222111211202110
42311103030310000
522212134144222
61221454215320
7135243050115
oct26523146400
97758454673
103041709312
111320a69254
1270a7b4540
133962290c5
1420bd8290c
1512c08230c
hexb54ccd00

3041709312 has 144 divisors (see below), whose sum is σ = 8581366080. Its totient is φ = 954777600.

The previous prime is 3041709287. The next prime is 3041709317. The reversal of 3041709312 is 2139071403.

It is a self number, because there is not a number n which added to its sum of digits gives 3041709312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3041709317) 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 15 ways as a sum of consecutive naturals, for example, 911487 + ... + 914817.

It is an arithmetic number, because the mean of its divisors is an integer number (59592820).

Almost surely, 23041709312 is an apocalyptic number.

3041709312 is a gapful number since it is divisible by the number (32) 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 3041709312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290683040).

3041709312 is an abundant number, since it is smaller than the sum of its proper divisors (5539656768).

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

3041709312 is a wasteful number, since it uses less digits than its factorization.

3041709312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 3041709312 is about 55151.6936457984. The cubic root of 3041709312 is about 1448.9027469007.

The spelling of 3041709312 in words is "three billion, forty-one million, seven hundred nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 41 48 58 64 82 87 96 116 123 128 164 174 192 232 246 256 328 348 384 464 492 656 696 768 928 984 1189 1312 1392 1856 1968 2378 2624 2784 3331 3567 3712 3936 4756 5248 5568 6662 7134 7424 7872 9512 9993 10496 11136 13324 14268 15744 19024 19986 22272 26648 28536 31488 38048 39972 53296 57072 76096 79944 96599 106592 114144 136571 152192 159888 193198 213184 228288 273142 289797 304384 319776 386396 409713 426368 456576 546284 579594 639552 772792 819426 852736 913152 1092568 1159188 1279104 1545584 1638852 2185136 2318376 2558208 3091168 3277704 3960559 4370272 4636752 6182336 6555408 7921118 8740544 9273504 11881677 12364672 13110816 15842236 17481088 18547008 23763354 24729344 26221632 31684472 34962176 37094016 47526708 52443264 63368944 74188032 95053416 104886528 126737888 190106832 253475776 380213664 506951552 760427328 1013903104 1520854656 3041709312