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3435249321 = 327227912
BaseRepresentation
bin1100110011000001…
…1011111010101001
322212102000202011100
43030300123322221
524013410434241
61324513152013
7151062065100
oct31460337251
98772022140
103435249321
111503121729
127ba55b609
1342991820a
14248345037
151518bb9b6
hexccc1bea9

3435249321 has 27 divisors (see below), whose sum is σ = 5774222493. Its totient is φ = 1962296280.

The previous prime is 3435249281. The next prime is 3435249331. The reversal of 3435249321 is 1239425343.

The square root of 3435249321 is 58611.

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

3435249321 is a `hidden beast` number, since 3 + 43 + 524 + 93 + 2 + 1 = 666.

It is not a de Polignac number, because 3435249321 - 29 = 3435248809 is a prime.

It is a super-2 number, since 2×34352493212 = 23601875794861922082, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3435249331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1229436 + ... + 1232226.

Almost surely, 23435249321 is an apocalyptic number.

3435249321 is the 58611-st square number.

3435249321 is the 29306-th centered octagonal number.

It is an amenable number.

3435249321 is a deficient number, since it is larger than the sum of its proper divisors (2338973172).

3435249321 is an frugal number, since it uses more digits than its factorization.

3435249321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 2801 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The cubic root of 3435249321 is about 1508.8732323317.

Multiplying 3435249321 by its sum of digits (36), we get a square (123668975556 = 3516662).

The spelling of 3435249321 in words is "three billion, four hundred thirty-five million, two hundred forty-nine thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 2791 8373 19537 25119 58611 136759 175833 410277 1230831 7789681 23369043 54527767 70107129 163583301 381694369 490749903 1145083107 3435249321