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34012450152 = 2334971793023
BaseRepresentation
bin11111101011010011…
…001100110101101000
310020210101102111020000
4133223103030311220
51024124141401102
623343004503000
72312601025152
oct375323146550
9106711374200
1034012450152
111347416123a
12671284aa60
133290755665
1419092bdad2
15d4100d01c
hex7eb4ccd68

34012450152 has 160 divisors (see below), whose sum is σ = 96818198400. Its totient is φ = 11154226176.

The previous prime is 34012450151. The next prime is 34012450177. The reversal of 34012450152 is 25105421043.

34012450152 is a `hidden beast` number, since 3 + 401 + 245 + 0 + 15 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34012450151) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11249713 + ... + 11252735.

It is an arithmetic number, because the mean of its divisors is an integer number (605113740).

Almost surely, 234012450152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34012450152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48409099200).

34012450152 is an abundant number, since it is smaller than the sum of its proper divisors (62805748248).

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

34012450152 is a wasteful number, since it uses less digits than its factorization.

34012450152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317 (or 3304 counting only the distinct ones).

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

Adding to 34012450152 its reverse (25105421043), we get a palindrome (59117871195).

The spelling of 34012450152 in words is "thirty-four billion, twelve million, four hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 97 108 162 179 194 216 291 324 358 388 537 582 648 716 776 873 1074 1164 1432 1611 1746 2148 2328 2619 3023 3222 3492 4296 4833 5238 6046 6444 6984 7857 9069 9666 10476 12092 12888 14499 15714 17363 18138 19332 20952 24184 27207 28998 31428 34726 36276 38664 52089 54414 57996 62856 69452 72552 81621 104178 108828 115992 138904 156267 163242 208356 217656 244863 293231 312534 326484 416712 468801 489726 541117 586462 625068 652968 879693 937602 979452 1082234 1172924 1250136 1406403 1623351 1759386 1875204 1958904 2164468 2345848 2639079 2812806 3246702 3518772 3750408 4328936 4870053 5278158 5625612 6493404 7037544 7917237 9740106 10556316 11251224 12986808 14610159 15834474 19480212 21112632 23751711 29220318 31668948 38960424 43830477 47503422 52488349 58440636 63337896 87660954 95006844 104976698 116881272 157465047 175321908 190013688 209953396 314930094 350643816 419906792 472395141 629860188 944790282 1259720376 1417185423 1889580564 2834370846 3779161128 4251556269 5668741692 8503112538 11337483384 17006225076 34012450152