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34412321430 = 23251107134537
BaseRepresentation
bin100000000011001000…
…100101101010010110
310021211020212001111100
4200003020211222112
51030434023241210
623450411250530
72325524622504
oct400310455226
9107736761440
1034412321430
1113659949473
126804749a46
133325550496
14194644d674
15d661985c0
hex803225a96

34412321430 has 48 divisors (see below), whose sum is σ = 89482708224. Its totient is φ = 9175524480.

The previous prime is 34412321413. The next prime is 34412321431. The reversal of 34412321430 is 3412321443.

34412321430 is a `hidden beast` number, since 3 + 4 + 412 + 3 + 214 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34412321394 and 34412321403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34412321431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979122 + ... + 1013658.

It is an arithmetic number, because the mean of its divisors is an integer number (1864223088).

Almost surely, 234412321430 is an apocalyptic number.

34412321430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34412321430 is an abundant number, since it is smaller than the sum of its proper divisors (55070386794).

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

34412321430 is a wasteful number, since it uses less digits than its factorization.

34412321430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45621 (or 45618 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34412321430 its reverse (3412321443), we get a palindrome (37824642873).

The spelling of 34412321430 in words is "thirty-four billion, four hundred twelve million, three hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11071 22142 33213 34537 55355 66426 69074 99639 103611 110710 166065 172685 199278 207222 310833 332130 345370 498195 518055 621666 996390 1036110 1554165 3108330 382359127 764718254 1147077381 1911795635 2294154762 3441232143 3823591270 5735386905 6882464286 11470773810 17206160715 34412321430