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34078144373 = 71323374110733
BaseRepresentation
bin11111101111001101…
…110011011101110101
310020221222001002202022
4133233031303131311
51024243001104443
623353312522525
72314326306410
oct375715633565
9106858032668
1034078144373
11134a8251289
126730850445
1332a1247390
141913d00b77
15d46b87e68
hex7ef373775

34078144373 has 64 divisors (see below), whose sum is σ = 46049375232. Its totient is φ = 24479262720.

The previous prime is 34078144363. The next prime is 34078144381. The reversal of 34078144373 is 37344187043.

It is a cyclic number.

It is not a de Polignac number, because 34078144373 - 24 = 34078144357 is a prime.

It is a super-2 number, since 2×340781443732 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34078144333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3169715 + ... + 3180447.

It is an arithmetic number, because the mean of its divisors is an integer number (719521488).

Almost surely, 234078144373 is an apocalyptic number.

It is an amenable number.

34078144373 is a deficient number, since it is larger than the sum of its proper divisors (11971230859).

34078144373 is a wasteful number, since it uses less digits than its factorization.

34078144373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10854.

The product of its (nonzero) digits is 677376, while the sum is 44.

The spelling of 34078144373 in words is "thirty-four billion, seventy-eight million, one hundred forty-four thousand, three hundred seventy-three".

Divisors: 1 7 13 23 37 41 91 161 259 287 299 481 533 851 943 1517 2093 3367 3731 5957 6601 10619 10733 11063 12259 19721 34891 75131 77441 85813 138047 139529 244237 246859 397121 440053 453583 976703 1728013 2779847 3080371 3175081 3209167 5162573 5720689 9133783 10121219 16281961 22464169 36138011 40044823 63936481 70848533 113973727 118739179 131575847 211665493 374485103 831174253 921030929 1481658451 2621395721 4868306339 34078144373