Search a number
-
+
350532295808 = 2743212172
BaseRepresentation
bin1010001100111010101…
…10100101110010000000
31020111210012100121221112
411012131112211302000
521220342231431213
6425010551342452
734216342232042
oct5063526456200
91214705317845
10350532295808
11125729385042
1257b28681a28
1327093c50666
1412d74433a92
1591b8b4aea8
hex519d5a5c80

350532295808 has 72 divisors (see below), whose sum is σ = 715531823505. Its totient is φ = 171049525248.

The previous prime is 350532295807. The next prime is 350532295811. The reversal of 350532295808 is 808592235053.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 340785077824 + 9747217984 = 583768^2 + 98728^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=418648.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (350532295807) 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 8 ways as a sum of consecutive naturals, for example, 288029216 + ... + 288030432.

Almost surely, 2350532295808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350532295808

350532295808 is an abundant number, since it is smaller than the sum of its proper divisors (364999527697).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

350532295808 is an frugal number, since it uses more digits than its factorization.

350532295808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 50.

Multiplying 350532295808 by its sum of digits (50), we get a square (17526614790400 = 41864802).

The spelling of 350532295808 in words is "three hundred fifty billion, five hundred thirty-two million, two hundred ninety-five thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1217 1376 1849 2434 2752 3698 4868 5504 7396 9736 14792 19472 29584 38944 52331 59168 77888 104662 118336 155776 209324 236672 418648 837296 1481089 1674592 2250233 2962178 3349184 4500466 5924356 6698368 9000932 11848712 18001864 23697424 36003728 47394848 63686827 72007456 94789696 127373654 144014912 189579392 254747308 288029824 509494616 1018989232 2037978464 2738533561 4075956928 5477067122 8151913856 10954134244 21908268488 43816536976 87633073952 175266147904 350532295808