Search a number
-
+
34050014154 = 232132337916693
BaseRepresentation
bin11111101101100010…
…011111101111001010
310020220000002221100100
4133231202133233022
51024213300423104
623350425550230
72313535226202
oct375542375712
9106800087310
1034050014154
1113493388672
126723345376
133298478490
14191029b402
15d4447d139
hex7ed89fbca

34050014154 has 96 divisors (see below), whose sum is σ = 83128106880. Its totient is φ = 9994368384.

The previous prime is 34050014137. The next prime is 34050014213. The reversal of 34050014154 is 45141005043.

It is a happy number.

34050014154 is a `hidden beast` number, since 3 + 4 + 0 + 500 + 1 + 4 + 154 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2031432 + ... + 2048124.

It is an arithmetic number, because the mean of its divisors is an integer number (865917780).

Almost surely, 234050014154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34050014154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41564053440).

34050014154 is an abundant number, since it is smaller than the sum of its proper divisors (49078092726).

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

34050014154 is a wasteful number, since it uses less digits than its factorization.

34050014154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17116 (or 17113 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 34050014154 its reverse (45141005043), we get a palindrome (79191019197).

The spelling of 34050014154 in words is "thirty-four billion, fifty million, fourteen thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 379 414 598 758 897 1137 1794 2274 2691 3411 4927 5382 6822 8717 9854 14781 16693 17434 26151 29562 33386 44343 50079 52302 78453 88686 100158 113321 150237 156906 217009 226642 300474 339963 383939 434018 651027 679926 767878 1019889 1151817 1302054 1953081 2039778 2303634 3455451 3906162 4991207 6326647 6910902 9982414 12653294 14973621 18979941 29947242 37959882 44920863 56939823 82246411 89841726 113879646 145512881 164492822 246739233 291025762 436538643 493478466 740217699 873077286 1309615929 1480435398 1891667453 2619231858 3783334906 5675002359 11350004718 17025007077 34050014154