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10073034 = 2322329839
BaseRepresentation
bin100110011011…
…001111001010
3200221202121100
4212123033022
510034314114
6555522230
7151422306
oct46331712
920852540
1010073034
115760024
123459376
132118b9a
1414a2d06
15d3e909
hex99b3ca

10073034 has 48 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 3097248.

The previous prime is 10073029. The next prime is 10073039. The reversal of 10073034 is 43037001.

It is an interprime number because it is at equal distance from previous prime (10073029) and next prime (10073039).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10072998 and 10073016.

It is not an unprimeable number, because it can be changed into a prime (10073039) 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, 11587 + ... + 12425.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 210073034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10073034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

10073034 is an abundant number, since it is smaller than the sum of its proper divisors (13514166).

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

10073034 is a wasteful number, since it uses less digits than its factorization.

10073034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 10073034 is about 3173.8043417955. The cubic root of 10073034 is about 215.9666872494.

The spelling of 10073034 in words is "ten million, seventy-three thousand, thirty-four".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 414 522 667 839 1334 1678 2001 2517 4002 5034 6003 7551 12006 15102 19297 24331 38594 48662 57891 72993 115782 145986 173673 218979 347346 437958 559613 1119226 1678839 3357678 5036517 10073034