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344000434377 = 3419972805167
BaseRepresentation
bin1010000000110000000…
…01100001000011001001
31012212220222111200112210
411000120001201003021
521114003102400002
6422010455055333
733565436306205
oct5003001410311
91185828450483
10344000434377
11122987305956
1256805071549
13265929254b2
1412914b37b05
158e354a496c
hex50180610c9

344000434377 has 16 divisors (see below), whose sum is σ = 470325687552. Its totient is φ = 223515626880.

The previous prime is 344000434357. The next prime is 344000434397. The reversal of 344000434377 is 773434000443.

It is an interprime number because it is at equal distance from previous prime (344000434357) and next prime (344000434397).

It is not a de Polignac number, because 344000434377 - 27 = 344000434249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344000434307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1279953 + ... + 1525214.

It is an arithmetic number, because the mean of its divisors is an integer number (29395355472).

Almost surely, 2344000434377 is an apocalyptic number.

It is an amenable number.

344000434377 is a deficient number, since it is larger than the sum of its proper divisors (126325253175).

344000434377 is a wasteful number, since it uses less digits than its factorization.

344000434377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806208.

The product of its (nonzero) digits is 338688, while the sum is 39.

The spelling of 344000434377 in words is "three hundred forty-four billion, four hundred thirty-four thousand, three hundred seventy-seven".

Divisors: 1 3 41 123 997 2991 40877 122631 2805167 8415501 115011847 345035541 2796751499 8390254497 114666811459 344000434377