Search a number
-
+
34135033344 = 29322223329
BaseRepresentation
bin11111110010100110…
…110100011000000000
310021002221002100202020
4133302212310120000
51024402032031334
623403104121440
72315616665436
oct376246643000
9107087070666
1034135033344
1113527377865
126747906280
1332acc752a9
14191b6acd56
15d4bb73e49
hex7f29b4600

34135033344 has 40 divisors (see below), whose sum is σ = 90937866360. Its totient is φ = 11378343936.

The previous prime is 34135033343. The next prime is 34135033351. The reversal of 34135033344 is 44333053143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34135033343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11110129 + ... + 11113200.

It is an arithmetic number, because the mean of its divisors is an integer number (2273446659).

Almost surely, 234135033344 is an apocalyptic number.

It is an amenable number.

34135033344 is an abundant number, since it is smaller than the sum of its proper divisors (56802833016).

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

34135033344 is an equidigital number, since it uses as much as digits as its factorization.

34135033344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22223350 (or 22223334 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 33.

Adding to 34135033344 its reverse (44333053143), we get a palindrome (78468086487).

The spelling of 34135033344 in words is "thirty-four billion, one hundred thirty-five million, thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 22223329 44446658 66669987 88893316 133339974 177786632 266679948 355573264 533359896 711146528 1066719792 1422293056 2133439584 2844586112 4266879168 5689172224 8533758336 11378344448 17067516672 34135033344