Search a number
-
+
1335471345 = 3251310972081
BaseRepresentation
bin100111110011001…
…1010110011110001
310110001220222021200
41033212122303301
510213340040340
6340303441413
745044214315
oct11746326361
93401828250
101335471345
1162592542a
123132b6269
131838a7440
14c9515b45
157c39a330
hex4f99acf1

1335471345 has 48 divisors (see below), whose sum is σ = 2496351312. Its totient is φ = 656547840.

The previous prime is 1335471343. The next prime is 1335471383. The reversal of 1335471345 is 5431745331.

It can be written as a sum of positive squares in 8 ways, for example, as 241118784 + 1094352561 = 15528^2 + 33081^2 .

It is not a de Polignac number, because 1335471345 - 21 = 1335471343 is a prime.

It is a super-2 number, since 2×13354713452 = 3566967426632218050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1335471341) 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, 640705 + ... + 642785.

It is an arithmetic number, because the mean of its divisors is an integer number (52007319).

Almost surely, 21335471345 is an apocalyptic number.

1335471345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1335471345 is a deficient number, since it is larger than the sum of its proper divisors (1160879967).

1335471345 is a wasteful number, since it uses less digits than its factorization.

1335471345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 3199 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 1335471345 is about 36544.1013708095. The cubic root of 1335471345 is about 1101.2303987135.

The spelling of 1335471345 in words is "one billion, three hundred thirty-five million, four hundred seventy-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 1097 2081 3291 5485 6243 9873 10405 14261 16455 18729 27053 31215 42783 49365 71305 81159 93645 128349 135265 213915 243477 405795 641745 1217385 2282857 6848571 11414285 20545713 29677141 34242855 89031423 102728565 148385705 267094269 445157115 1335471345