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305630016 = 26315710139
BaseRepresentation
bin10010001101111…
…000101101000000
3210022002121120020
4102031320231000
51111220130031
650154413440
710400545416
oct2215705500
9708077506
10305630016
1114757a39a
1286431280
134b41c583
142c83b2b6
151bc72096
hex12378b40

305630016 has 56 divisors (see below), whose sum is σ = 813876960. Its totient is φ = 101217792.

The previous prime is 305630011. The next prime is 305630021. The reversal of 305630016 is 610036503.

It is an interprime number because it is at equal distance from previous prime (305630011) and next prime (305630021).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305630011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25075 + ... + 35213.

Almost surely, 2305630016 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 305630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406938480).

305630016 is an abundant number, since it is smaller than the sum of its proper divisors (508246944).

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

305630016 is a wasteful number, since it uses less digits than its factorization.

305630016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10311 (or 10301 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 305630016 is about 17482.2771972075. The cubic root of 305630016 is about 673.5947103622.

Adding to 305630016 its reverse (610036503), we get a palindrome (915666519).

The spelling of 305630016 in words is "three hundred five million, six hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 314 471 628 942 1256 1884 2512 3768 5024 7536 10048 10139 15072 20278 30144 30417 40556 60834 81112 121668 162224 243336 324448 486672 648896 973344 1591823 1946688 3183646 4775469 6367292 9550938 12734584 19101876 25469168 38203752 50938336 76407504 101876672 152815008 305630016