Search a number
-
+
346315045456 = 24173125113817
BaseRepresentation
bin1010000101000011111…
…11000011101001010000
31020002220021212010001001
411002201333003221100
521133223122423311
6423032301151344
734010003213362
oct5024177035120
91202807763031
10346315045456
111239648a6476
125715025b554
1326871314c53
1412a942cad32
15901d7b04c1
hex50a1fc3a50

346315045456 has 20 divisors (see below), whose sum is σ = 674863934292. Its totient is φ = 172156610816.

The previous prime is 346315045423. The next prime is 346315045477. The reversal of 346315045456 is 654540513643.

It can be written as a sum of positive squares in 2 ways, for example, as 173105923600 + 173209121856 = 416060^2 + 416184^2 .

It is a super-2 number, since 2×3463150454562 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 62554141 + ... + 62559676.

Almost surely, 2346315045456 is an apocalyptic number.

It is an amenable number.

346315045456 is a deficient number, since it is larger than the sum of its proper divisors (328548888836).

346315045456 is a wasteful number, since it uses less digits than its factorization.

346315045456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125113998 (or 125113992 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 46.

The spelling of 346315045456 in words is "three hundred forty-six billion, three hundred fifteen million, forty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 173 346 692 1384 2768 125113817 250227634 500455268 1000910536 2001821072 21644690341 43289380682 86578761364 173157522728 346315045456