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34424215452 = 2232114710317957
BaseRepresentation
bin100000000011110101…
…111101011110011100
310021212002020100000200
4200003311331132130
51031000044343302
623451514223500
72326031001114
oct400365753634
9107762210020
1034424215452
1113665632640
126808724b90
133327b56173
141947c68044
15d6724781c
hex803d7d79c

34424215452 has 144 divisors (see below), whose sum is σ = 97893798912. Its totient is φ = 10109946240.

The previous prime is 34424215429. The next prime is 34424215513. The reversal of 34424215452 is 25451242443.

34424215452 is a `hidden beast` number, since 34 + 42 + 42 + 1 + 545 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1908058 + ... + 1926014.

It is an arithmetic number, because the mean of its divisors is an integer number (679818048).

Almost surely, 234424215452 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 34424215452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48946899456).

34424215452 is an abundant number, since it is smaller than the sum of its proper divisors (63469583460).

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

34424215452 is a wasteful number, since it uses less digits than its factorization.

34424215452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18128 (or 18123 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

Adding to 34424215452 its reverse (25451242443), we get a palindrome (59875457895).

The spelling of 34424215452 in words is "thirty-four billion, four hundred twenty-four million, two hundred fifteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 103 132 141 188 198 206 282 309 396 412 423 517 564 618 846 927 1034 1133 1236 1551 1692 1854 2068 2266 3102 3399 3708 4532 4653 4841 6204 6798 9306 9682 10197 13596 14523 17957 18612 19364 20394 29046 35914 40788 43569 53251 53871 58092 71828 87138 106502 107742 159753 161613 174276 197527 213004 215484 319506 323226 395054 479259 592581 639012 646452 790108 843979 958518 1185162 1687958 1777743 1849571 1917036 2370324 2531937 3375916 3555486 3699142 5063874 5548713 7110972 7398284 7595811 9283769 10127748 11097426 15191622 16646139 18567538 20345281 22194852 27851307 30383244 33292278 37135076 40690562 55702614 61035843 66584556 81381124 83553921 86929837 111405228 122071686 167107842 173859674 183107529 244143372 260789511 334215684 347719348 366215058 521579022 732430116 782368533 956228207 1043158044 1564737066 1912456414 2868684621 3129474132 3824912828 5737369242 8606053863 11474738484 17212107726 34424215452