Search a number
-
+
34065677451 = 3133143655273
BaseRepresentation
bin11111101110011110…
…001111110010001011
310020221002120201100110
4133232132033302023
51024231303134301
623352145405403
72314115323611
oct375636176213
9106832521313
1034065677451
11134a1206743
126728639863
13329b7a09c0
1419123b76b1
15d45a240d6
hex7ee78fc8b

34065677451 has 32 divisors (see below), whose sum is σ = 51667044352. Its totient is φ = 19815425280.

The previous prime is 34065677423. The next prime is 34065677461. The reversal of 34065677451 is 15477656043.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-34065677451 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34065677451.

It is not an unprimeable number, because it can be changed into a prime (34065677411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275650 + ... + 379623.

It is an arithmetic number, because the mean of its divisors is an integer number (1614595136).

Almost surely, 234065677451 is an apocalyptic number.

34065677451 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

34065677451 is a deficient number, since it is larger than the sum of its proper divisors (17601366901).

34065677451 is a wasteful number, since it uses less digits than its factorization.

34065677451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655363.

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 34065677451 in words is "thirty-four billion, sixty-five million, six hundred seventy-seven thousand, four hundred fifty-one".

Divisors: 1 3 13 31 39 43 93 129 403 559 1209 1333 1677 3999 17329 51987 655273 1965819 8518549 20313463 25555647 28176739 60940389 84530217 264075019 366297607 792225057 873478909 1098892821 2620436727 11355225817 34065677451