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106303734 = 23229414967
BaseRepresentation
bin1100101011000…
…01000011110110
321102000210022100
412111201003312
5204203204414
614314242530
72430365265
oct625410366
9242023270
10106303734
1155007629
122b726446
131903cb24
14101925dc
1594ec609
hex65610f6

106303734 has 48 divisors (see below), whose sum is σ = 244127520. Its totient is φ = 33371520.

The previous prime is 106303721. The next prime is 106303739. The reversal of 106303734 is 437303601.

It is a happy number.

It is a super-2 number, since 2×1063037342 = 22600967724685512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106303698 and 106303707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106303739) 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, 18919 + ... + 23885.

It is an arithmetic number, because the mean of its divisors is an integer number (5085990).

Almost surely, 2106303734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106303734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122063760).

106303734 is an abundant number, since it is smaller than the sum of its proper divisors (137823786).

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

106303734 is a wasteful number, since it uses less digits than its factorization.

106303734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5045 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 106303734 is about 10310.3702164374. The cubic root of 106303734 is about 473.7139490764.

The spelling of 106303734 in words is "one hundred six million, three hundred three thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 522 738 1189 2378 3567 4967 7134 9934 10701 14901 21402 29802 44703 89406 144043 203647 288086 407294 432129 610941 864258 1221882 1296387 1832823 2592774 3665646 5905763 11811526 17717289 35434578 53151867 106303734