Search a number
-
+
393216001 = 1721923769
BaseRepresentation
bin10111011100000…
…000000000000001
31000101220102221121
4113130000000001
51301130403001
6103003552241
712513165223
oct2734000001
91011812847
10393216001
11191a62002
12ab82b681
13636077b9
143a31a413
15247c36a1
hex17700001

393216001 has 18 divisors (see below), whose sum is σ = 440965590. Its totient is φ = 350514432.

The previous prime is 393215989. The next prime is 393216007. The reversal of 393216001 is 100612393.

It can be written as a sum of positive squares in 3 ways, for example, as 228735376 + 164480625 = 15124^2 + 12825^2 .

It is not a de Polignac number, because 393216001 - 25 = 393215969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (393216007) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 102445 + ... + 106213.

It is a Proth number, since it is equal to 375 ⋅ 220 + 1 and 375 < 220.

Almost surely, 2393216001 is an apocalyptic number.

It is an amenable number.

393216001 is a deficient number, since it is larger than the sum of its proper divisors (47749589).

393216001 is a wasteful number, since it uses less digits than its factorization.

393216001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 393216001 is about 19829.6747577967. The cubic root of 393216001 is about 732.6171158552.

Adding to 393216001 its reverse (100612393), we get a palindrome (493828394).

The spelling of 393216001 in words is "three hundred ninety-three million, two hundred sixteen thousand, one".

Divisors: 1 17 19 289 323 361 3769 5491 6137 64073 71611 104329 1089241 1217387 1360609 20695579 23130353 393216001