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306013104 = 243229127577
BaseRepresentation
bin10010001111010…
…110001110110000
3210022211002001200
4102033112032300
51111314404404
650210531200
710404032325
oct2217261660
9708732050
10306013104
111478111a1
1286596b00
134b524a57
142c8dab4c
151bcea839
hex123d63b0

306013104 has 120 divisors (see below), whose sum is σ = 894466560. Its totient is φ = 97542144.

The previous prime is 306013093. The next prime is 306013109. The reversal of 306013104 is 401310603.

306013104 is a `hidden beast` number, since 30 + 601 + 31 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (306013109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530064 + ... + 530640.

It is an arithmetic number, because the mean of its divisors is an integer number (7453888).

Almost surely, 2306013104 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 306013104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447233280).

306013104 is an abundant number, since it is smaller than the sum of its proper divisors (588453456).

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

306013104 is a wasteful number, since it uses less digits than its factorization.

306013104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 306013104 is about 17493.2302334360. The cubic root of 306013104 is about 673.8760290559.

Adding to 306013104 its reverse (401310603), we get a palindrome (707323707).

The spelling of 306013104 in words is "three hundred six million, thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 127 144 174 232 254 261 348 381 464 508 522 577 696 762 1016 1044 1143 1154 1392 1524 1731 2032 2088 2286 2308 3048 3462 3683 4176 4572 4616 5193 6096 6924 7366 9144 9232 10386 11049 13848 14732 16733 18288 20772 22098 27696 29464 33147 33466 41544 44196 50199 58928 66294 66932 73279 83088 88392 100398 132588 133864 146558 150597 176784 200796 219837 265176 267728 293116 301194 401592 439674 530352 586232 602388 659511 803184 879348 1172464 1204776 1319022 1758696 2125091 2409552 2638044 3517392 4250182 5276088 6375273 8500364 10552176 12750546 17000728 19125819 25501092 34001456 38251638 51002184 76503276 102004368 153006552 306013104