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34323721432 = 23711134286179
BaseRepresentation
bin11111111101110110…
…100110110011011000
310021121002010201010221
4133331312212303120
51030243333041212
623433524245424
72323400550460
oct377566466330
9107532121127
1034323721432
1113613933a30
12679ab40874
13331009b850
141938788ba0
15d5d4e6807
hex7fdda6cd8

34323721432 has 64 divisors (see below), whose sum is σ = 86409388800. Its totient is φ = 12344192640.

The previous prime is 34323721427. The next prime is 34323721433. The reversal of 34323721432 is 23412732343.

It is a happy number.

It is a super-2 number, since 2×343237214322 (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 (34323721433) 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 15 ways as a sum of consecutive naturals, for example, 2135082 + ... + 2151097.

It is an arithmetic number, because the mean of its divisors is an integer number (1350146700).

Almost surely, 234323721432 is an apocalyptic number.

It is an amenable number.

34323721432 is an abundant number, since it is smaller than the sum of its proper divisors (52085667368).

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

34323721432 is a wasteful number, since it uses less digits than its factorization.

34323721432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286216 (or 4286212 counting only the distinct ones).

The product of its digits is 72576, while the sum is 34.

The spelling of 34323721432 in words is "thirty-four billion, three hundred twenty-three million, seven hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 4286179 8572358 17144716 30003253 34289432 47147969 55720327 60006506 94295938 111440654 120013012 188591876 222881308 240026024 330035783 377183752 390042289 445762616 612923597 660071566 780084578 1225847194 1320143132 1560169156 2451694388 2640286264 3120338312 4290465179 4903388776 8580930358 17161860716 34323721432