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34022332152 = 2334173088447
BaseRepresentation
bin11111101011111000…
…111001011011111000
310020211002000112210000
4133223320321123320
51024134204112102
623344000353000
72313051023514
oct375370713370
9106732015700
1034022332152
11134797a0786
126716015760
1332928055b3
14190a733144
15d41d1101c
hex7ebe396f8

34022332152 has 80 divisors (see below), whose sum is σ = 100899596160. Its totient is φ = 10673669376.

The previous prime is 34022332151. The next prime is 34022332177. The reversal of 34022332152 is 25123322043.

34022332152 is a `hidden beast` number, since 3 + 402 + 233 + 21 + 5 + 2 = 666.

It is a super-2 number, since 2×340223321522 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34022332151) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1533208 + ... + 1555239.

It is an arithmetic number, because the mean of its divisors is an integer number (1261244952).

Almost surely, 234022332152 is an apocalyptic number.

It is an amenable number.

34022332152 is an abundant number, since it is smaller than the sum of its proper divisors (66877264008).

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

34022332152 is a wasteful number, since it uses less digits than its factorization.

34022332152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088482 (or 3088469 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34022332152 its reverse (25123322043), we get a palindrome (59145654195).

The spelling of 34022332152 in words is "thirty-four billion, twenty-two million, three hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 3088447 6176894 9265341 12353788 18530682 24707576 27796023 37061364 52503599 55592046 74122728 83388069 105007198 111184092 157510797 166776138 210014396 222368184 250164207 315021594 333552276 420028792 472532391 500328414 630043188 667104552 945064782 1000656828 1260086376 1417597173 1890129564 2001313656 2835194346 3780259128 4252791519 5670388692 8505583038 11340777384 17011166076 34022332152