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310012980 = 223561711193
BaseRepresentation
bin10010011110100…
…110110000110100
3210121100021212020
4102132212300310
51113330403410
650432353140
710453031634
oct2236466064
9717307766
10310012980
11149aa3382
12879a57b0
134c2c5544
142d25c6c4
151c33aa70
hex127a6c34

310012980 has 96 divisors (see below), whose sum is σ = 895442688. Its totient is φ = 80102400.

The previous prime is 310012979. The next prime is 310012993. The reversal of 310012980 is 89210013.

310012980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3100129802 = 192216095536960800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 310012980.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259264 + ... + 260456.

It is an arithmetic number, because the mean of its divisors is an integer number (9327528).

Almost surely, 2310012980 is an apocalyptic number.

310012980 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 310012980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447721344).

310012980 is an abundant number, since it is smaller than the sum of its proper divisors (585429708).

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

310012980 is a wasteful number, since it uses less digits than its factorization.

310012980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 310012980 is about 17607.1854650310. The cubic root of 310012980 is about 676.7993910289.

Adding to 310012980 its reverse (89210013), we get a palindrome (399222993).

The spelling of 310012980 in words is "three hundred ten million, twelve thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 71 122 142 183 213 244 284 305 355 366 426 610 710 732 852 915 1065 1193 1220 1420 1830 2130 2386 3579 3660 4260 4331 4772 5965 7158 8662 11930 12993 14316 17324 17895 21655 23860 25986 35790 43310 51972 64965 71580 72773 84703 86620 129930 145546 169406 218319 254109 259860 291092 338812 363865 423515 436638 508218 727730 847030 873276 1016436 1091595 1270545 1455460 1694060 2183190 2541090 4366380 5082180 5166883 10333766 15500649 20667532 25834415 31001298 51668830 62002596 77503245 103337660 155006490 310012980