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353932801 = 1536123041
BaseRepresentation
bin10101000110001…
…001011000000001
3220122222122112021
4111012021120001
51211101322201
655042001441
711525244025
oct2506113001
9818878467
10353932801
11171870a52
129a646281
13584322c1
1435012385
1521113ea1
hex15189601

353932801 has 4 divisors (see below), whose sum is σ = 353971204. Its totient is φ = 353894400.

The previous prime is 353932771. The next prime is 353932811. The reversal of 353932801 is 108239353.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 108239353 = 173625661.

It can be written as a sum of positive squares in 2 ways, for example, as 169000000 + 184932801 = 13000^2 + 13599^2 .

It is a 3-Lehmer number, since φ(353932801) divides (353932801-1)3.

It is a cyclic number.

It is not a de Polignac number, because 353932801 - 25 = 353932769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (353932811) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3841 + ... + 26881.

It is an arithmetic number, because the mean of its divisors is an integer number (88492801).

It is a Poulet number, since it divides 2353932800-1.

Almost surely, 2353932801 is an apocalyptic number.

353932801 is the 15361-st pentagonal number.

It is an amenable number.

353932801 is a deficient number, since it is larger than the sum of its proper divisors (38403).

353932801 is a wasteful number, since it uses less digits than its factorization.

353932801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38402.

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 353932801 is about 18813.1018441936. The cubic root of 353932801 is about 707.3596310319.

The spelling of 353932801 in words is "three hundred fifty-three million, nine hundred thirty-two thousand, eight hundred one".

Divisors: 1 15361 23041 353932801