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314544030 = 235173779211
BaseRepresentation
bin10010101111111…
…000111110011110
3210220212111021220
4102233320332132
51121010402110
651113434210
710536402663
oct2257707636
9726774256
10314544030
11151608649
128940b966
1350220a38
142dabba6a
151c933370
hex12bf8f9e

314544030 has 128 divisors (see below), whose sum is σ = 835246080. Its totient is φ = 75479040.

The previous prime is 314544019. The next prime is 314544037. The reversal of 314544030 is 30445413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314544037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1490625 + ... + 1490835.

It is an arithmetic number, because the mean of its divisors is an integer number (6525360).

Almost surely, 2314544030 is an apocalyptic number.

314544030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314544030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417623040).

314544030 is an abundant number, since it is smaller than the sum of its proper divisors (520702050).

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

314544030 is a wasteful number, since it uses less digits than its factorization.

314544030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 314544030 is about 17735.3891978721. The cubic root of 314544030 is about 680.0807502144.

Adding to 314544030 its reverse (30445413), we get a palindrome (344989443).

The spelling of 314544030 in words is "three hundred fourteen million, five hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 79 85 102 111 158 170 185 211 222 237 255 370 395 422 474 510 555 629 633 790 1055 1110 1185 1258 1266 1343 1887 2110 2370 2686 2923 3145 3165 3587 3774 4029 5846 6290 6330 6715 7174 7807 8058 8769 9435 10761 13430 14615 15614 16669 17538 17935 18870 20145 21522 23421 29230 33338 35870 39035 40290 43845 46842 49691 50007 53805 78070 83345 87690 99382 100014 107610 117105 132719 149073 166690 234210 248455 250035 265438 283373 298146 398157 496910 500070 566746 616753 663595 745365 796314 850119 1233506 1327190 1416865 1490730 1700238 1850259 1990785 2833730 3083765 3700518 3981570 4250595 6167530 8501190 9251295 10484801 18502590 20969602 31454403 52424005 62908806 104848010 157272015 314544030