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1354313601 = 36292472
BaseRepresentation
bin101000010111001…
…0010111110000001
310111101101021000000
41100232102332001
510233201013401
6342215350213
745363322104
oct12056227601
93441337000
101354313601
11635524943
12319682369
131877738c4
14cbc1c73b
157dd6d186
hex50b92f81

1354313601 has 63 divisors (see below), whose sum is σ = 2148670771. Its totient is φ = 853194384.

The previous prime is 1354313591. The next prime is 1354313603. The reversal of 1354313601 is 1063134531.

The square root of 1354313601 is 36801.

It is a perfect power (a square), and thus also a powerful number.

1354313601 is a `hidden beast` number, since 1 + 3 + 5 + 43 + 13 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 710169201 + 644144400 = 26649^2 + 25380^2 .

It is not a de Polignac number, because 1354313601 - 213 = 1354305409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1354313603) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 28815160 + ... + 28815206.

Almost surely, 21354313601 is an apocalyptic number.

1354313601 is the 36801-st square number.

1354313601 is the 18401-st centered octagonal number.

It is an amenable number.

1354313601 is a deficient number, since it is larger than the sum of its proper divisors (794357170).

1354313601 is an frugal number, since it uses more digits than its factorization.

1354313601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The cubic root of 1354313601 is about 1106.3853419014.

The spelling of 1354313601 in words is "one billion, three hundred fifty-four million, three hundred thirteen thousand, six hundred one".

Divisors: 1 3 9 27 29 47 81 87 141 243 261 423 729 783 841 1269 1363 2209 2349 2523 3807 4089 6627 7047 7569 11421 12267 19881 21141 22707 34263 36801 39527 59643 64061 68121 110403 118581 178929 192183 204363 331209 355743 536787 576549 613089 993627 1067229 1610361 1729647 1857769 3201687 5188941 5573307 9605061 15566823 16719921 28815183 46700469 50159763 150479289 451437867 1354313601