Search a number
-
+
305425440 = 253251131877
BaseRepresentation
bin10010001101000…
…110110000100000
3210021201012221100
4102031012300200
51111142103230
650150154400
710366034115
oct2215066040
9707635840
10305425440
1114744a721
1286352a00
134b37a418
142c7c690c
151bc31660
hex12346c20

305425440 has 144 divisors (see below), whose sum is σ = 1052048088. Its totient is φ = 80683008.

The previous prime is 305425427. The next prime is 305425447. The reversal of 305425440 is 44524503.

305425440 is a `hidden beast` number, since 30 + 542 + 54 + 40 = 666.

305425440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 170772624 + 134652816 = 13068^2 + 11604^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (305425447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161782 + ... + 163658.

Almost surely, 2305425440 is an apocalyptic number.

305425440 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 305425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526024044).

305425440 is an abundant number, since it is smaller than the sum of its proper divisors (746622648).

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

305425440 is a wasteful number, since it uses less digits than its factorization.

305425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 305425440 is about 17476.4252637660. The cubic root of 305425440 is about 673.4443847377. Note that the first 3 decimals are identical.

Adding to 305425440 its reverse (44524503), we get a palindrome (349949943).

The spelling of 305425440 in words is "three hundred five million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 113 120 144 160 180 226 240 288 339 360 452 480 565 678 720 904 1017 1130 1356 1440 1695 1808 1877 2034 2260 2712 3390 3616 3754 4068 4520 5085 5424 5631 6780 7508 8136 9040 9385 10170 10848 11262 13560 15016 16272 16893 18080 18770 20340 22524 27120 28155 30032 32544 33786 37540 40680 45048 54240 56310 60064 67572 75080 81360 84465 90096 112620 135144 150160 162720 168930 180192 212101 225240 270288 300320 337860 424202 450480 540576 636303 675720 848404 900960 1060505 1272606 1351440 1696808 1908909 2121010 2545212 2702880 3181515 3393616 3817818 4242020 5090424 6363030 6787232 7635636 8484040 9544545 10180848 12726060 15271272 16968080 19089090 20361696 25452120 30542544 33936160 38178180 50904240 61085088 76356360 101808480 152712720 305425440