Search a number
-
+
1353429 = 34721131
BaseRepresentation
bin101001010011011010101
32112202120000
411022123111
5321302204
645001513
714334600
oct5123325
92482500
101353429
11844940
12553299
1338505c
14273337
151bb039
hex14a6d5

1353429 has 60 divisors (see below), whose sum is σ = 2648448. Its totient is φ = 680400.

The previous prime is 1353397. The next prime is 1353433. The reversal of 1353429 is 9243531.

It is not a de Polignac number, because 1353429 - 25 = 1353397 is a prime.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 43644 + ... + 43674.

21353429 is an apocalyptic number.

It is an amenable number.

1353429 is a deficient number, since it is larger than the sum of its proper divisors (1295019).

1353429 is a wasteful number, since it uses less digits than its factorization.

1353429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 52 counting only the distinct ones).

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

The square root of 1353429 is about 1163.3696746950. The cubic root of 1353429 is about 110.6144402446.

The spelling of 1353429 in words is "one million, three hundred fifty-three thousand, four hundred twenty-nine".

Divisors: 1 3 7 9 11 21 27 31 33 49 63 77 81 93 99 147 189 217 231 279 297 341 441 539 567 651 693 837 891 1023 1323 1519 1617 1953 2079 2387 2511 3069 3969 4557 4851 5859 6237 7161 9207 13671 14553 16709 17577 21483 27621 41013 43659 50127 64449 123039 150381 193347 451143 1353429