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34312111424 = 2629314671277
BaseRepresentation
bin11111111101001010…
…010100010101000000
310021120021021212012122
4133331022110111000
51030232400031144
623432431343412
72323200064163
oct377512242500
9107507255178
1034312111424
1113608324188
126797081b68
13330a865216
141937005ada
15d5c4a17ee
hex7fd294540

34312111424 has 112 divisors (see below), whose sum is σ = 72920839680. Its totient is φ = 15983278080.

The previous prime is 34312111411. The next prime is 34312111487. The reversal of 34312111424 is 42411121343.

It is a junction number, because it is equal to n+sod(n) for n = 34312111393 and 34312111402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26868674 + ... + 26869950.

Almost surely, 234312111424 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 34312111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36460419840).

34312111424 is an abundant number, since it is smaller than the sum of its proper divisors (38608728256).

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

34312111424 is a wasteful number, since it uses less digits than its factorization.

34312111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1806 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

Adding to 34312111424 its reverse (42411121343), we get a palindrome (76723232767).

The spelling of 34312111424 in words is "thirty-four billion, three hundred twelve million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 232 248 464 467 496 899 928 934 992 1277 1798 1856 1868 1984 2554 3596 3736 5108 7192 7472 10216 13543 14384 14477 14944 20432 27086 28768 28954 29888 37033 39587 40864 54172 57536 57908 74066 79174 81728 108344 115816 148132 158348 216688 231632 296264 316696 419833 433376 463264 592528 596359 633392 839666 866752 926528 1148023 1185056 1192718 1266784 1679332 2296046 2370112 2385436 2533568 3358664 4592092 4770872 6717328 9184184 9541744 13434656 17294411 18368368 18487129 19083488 26869312 34588822 36736736 36974258 38166976 69177644 73473472 73948516 138355288 147897032 276710576 295794064 536126741 553421152 591588128 1072253482 1106842304 1183176256 2144506964 4289013928 8578027856 17156055712 34312111424