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1354107645 = 335118531069
BaseRepresentation
bin101000010110110…
…0000101011111101
310111100222210111000
41100231200223331
510233122421040
6342211120513
745361503462
oct12055405375
93440883430
101354107645
116353a4130
123195a3139
13187700c37
14cbba7669
157dd2c130
hex50b60afd

1354107645 has 64 divisors (see below), whose sum is σ = 2631686400. Its totient is φ = 655153920.

The previous prime is 1354107641. The next prime is 1354107659. The reversal of 1354107645 is 5467014531.

1354107645 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 1 + 0 + 7 + 645 = 666.

1354107645 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1354107645 - 22 = 1354107641 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354107641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1266171 + ... + 1267239.

It is an arithmetic number, because the mean of its divisors is an integer number (41120100).

Almost surely, 21354107645 is an apocalyptic number.

1354107645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1354107645 is a deficient number, since it is larger than the sum of its proper divisors (1277578755).

1354107645 is a wasteful number, since it uses less digits than its factorization.

1354107645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1354107645 is about 36798.2016544287. The cubic root of 1354107645 is about 1106.3292548791.

The spelling of 1354107645 in words is "one billion, three hundred fifty-four million, one hundred seven thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 853 1069 1485 2559 3207 4265 5345 7677 9383 9621 11759 12795 16035 23031 28149 28863 35277 38385 46915 48105 58795 84447 105831 115155 140745 144315 176385 253341 317493 422235 529155 911857 1266705 1587465 2735571 4559285 8206713 10030427 13677855 24620139 30091281 41033565 50152135 90273843 123100695 150456405 270821529 451369215 1354107645