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305440713 = 3419238629
BaseRepresentation
bin10010001101001…
…010011111001001
3210021201222220000
4102031022133021
51111143100323
650150353213
710366126464
oct2215123711
9707658800
10305440713
11147460146
128635b809
134b384366
142c7cc2db
151bc35e43
hex1234a7c9

305440713 has 40 divisors (see below), whose sum is σ = 501230400. Its totient is φ = 184501152.

The previous prime is 305440703. The next prime is 305440721. The reversal of 305440713 is 317044503.

It is not a de Polignac number, because 305440713 - 24 = 305440697 is a prime.

It is a super-3 number, since 3×3054407133 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305440703) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31083 + ... + 39711.

It is an arithmetic number, because the mean of its divisors is an integer number (12530760).

Almost surely, 2305440713 is an apocalyptic number.

It is an amenable number.

305440713 is a deficient number, since it is larger than the sum of its proper divisors (195789687).

305440713 is a wasteful number, since it uses less digits than its factorization.

305440713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8683 (or 8674 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 305440713 is about 17476.8622183732. The cubic root of 305440713 is about 673.4556098937.

It can be divided in two parts, 305440 and 713, that added together give a triangular number (306153 = T782).

The spelling of 305440713 in words is "three hundred five million, four hundred forty thousand, seven hundred thirteen".

Divisors: 1 3 9 19 23 27 57 69 81 171 207 437 513 621 1311 1539 1863 3933 8629 11799 25887 35397 77661 163951 198467 232983 491853 595401 698949 1475559 1786203 3770873 4426677 5358609 11312619 13280031 16075827 33937857 101813571 305440713