Search a number
-
+
306207420 = 223519267211
BaseRepresentation
bin10010010000000…
…101101010111100
3210100011221121120
4102100011222330
51111342114140
650215030540
710405502001
oct2220055274
9710157546
10306207420
11147934192
128666b450
134b59232c
142c94b8a8
151bd381d0
hex12405abc

306207420 has 144 divisors (see below), whose sum is σ = 922739328. Its totient is φ = 75841920.

The previous prime is 306207403. The next prime is 306207427. The reversal of 306207420 is 24702603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306207427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1451115 + ... + 1451325.

It is an arithmetic number, because the mean of its divisors is an integer number (6407912).

Almost surely, 2306207420 is an apocalyptic number.

306207420 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 306207420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461369664).

306207420 is an abundant number, since it is smaller than the sum of its proper divisors (616531908).

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

306207420 is a wasteful number, since it uses less digits than its factorization.

306207420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 306207420 is about 17498.7833862815. The cubic root of 306207420 is about 674.0186342648.

The spelling of 306207420 in words is "three hundred six million, two hundred seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 67 76 95 114 134 190 201 211 228 268 285 335 361 380 402 422 570 633 670 722 804 844 1005 1055 1083 1140 1266 1273 1340 1444 1805 2010 2110 2166 2532 2546 3165 3610 3819 4009 4020 4220 4332 5092 5415 6330 6365 7220 7638 8018 10830 12027 12660 12730 14137 15276 16036 19095 20045 21660 24054 24187 25460 28274 38190 40090 42411 48108 48374 56548 60135 70685 72561 76171 76380 80180 84822 96748 120270 120935 141370 145122 152342 169644 212055 228513 240540 241870 268603 282740 290244 304684 362805 380855 424110 457026 483740 537206 725610 761710 805809 848220 914052 1074412 1142565 1343015 1451220 1523420 1611618 2285130 2686030 3223236 4029045 4570260 5103457 5372060 8058090 10206914 15310371 16116180 20413828 25517285 30620742 51034570 61241484 76551855 102069140 153103710 306207420