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305368470 = 2325112313411
BaseRepresentation
bin10010001100111…
…000110110010110
3210021121022210100
4102030320312112
51111133242340
650145034530
710365406041
oct2214706626
9707538710
10305368470
11147410940
1286325a46
134b35a504
142c7adc58
151bc1e830
hex12338d96

305368470 has 96 divisors (see below), whose sum is σ = 903861504. Its totient is φ = 70804800.

The previous prime is 305368429. The next prime is 305368489. The reversal of 305368470 is 74863503.

It is a happy number.

305368470 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16065 + ... + 29475.

It is an arithmetic number, because the mean of its divisors is an integer number (9415224).

Almost surely, 2305368470 is an apocalyptic number.

305368470 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 305368470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451930752).

305368470 is an abundant number, since it is smaller than the sum of its proper divisors (598493034).

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

305368470 is a wasteful number, since it uses less digits than its factorization.

305368470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13458 (or 13455 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 305368470 is about 17474.7952777708. The cubic root of 305368470 is about 673.4025103474.

The spelling of 305368470 in words is "three hundred five million, three hundred sixty-eight thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 690 759 990 1035 1265 1518 2070 2277 2530 3795 4554 7590 11385 13411 22770 26822 40233 67055 80466 120699 134110 147521 201165 241398 295042 308453 402330 442563 603495 616906 737605 885126 925359 1206990 1327689 1475210 1542265 1850718 2212815 2655378 2776077 3084530 3392983 4425630 4626795 5552154 6638445 6785966 9253590 10178949 13276890 13880385 16964915 20357898 27760770 30536847 33929830 50894745 61073694 101789490 152684235 305368470