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344070828 = 22347114957
BaseRepresentation
bin10100100000100…
…001101010101100
3212222102121110000
4110200201222230
51201040231303
654050344300
711345360643
oct2440415254
9788377400
10344070828
11167245562
129728b090
135638b50a
14339a635a
1520316da3
hex14821aac

344070828 has 60 divisors (see below), whose sum is σ = 912198672. Its totient is φ = 113067360.

The previous prime is 344070809. The next prime is 344070847. The reversal of 344070828 is 828070443.

It is an interprime number because it is at equal distance from previous prime (344070809) and next prime (344070847).

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

It is a junction number, because it is equal to n+sod(n) for n = 344070792 and 344070801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15526 + ... + 30482.

Almost surely, 2344070828 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 344070828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456099336).

344070828 is an abundant number, since it is smaller than the sum of its proper divisors (568127844).

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

344070828 is a wasteful number, since it uses less digits than its factorization.

344070828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15044 (or 15033 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 344070828 is about 18549.1462876328. The cubic root of 344070828 is about 700.7276976683.

The spelling of 344070828 in words is "three hundred forty-four million, seventy thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 213 284 324 426 639 852 1278 1917 2556 3834 5751 7668 11502 14957 23004 29914 44871 59828 89742 134613 179484 269226 403839 538452 807678 1061947 1211517 1615356 2123894 2423034 3185841 4247788 4846068 6371682 9557523 12743364 19115046 28672569 38230092 57345138 86017707 114690276 172035414 344070828