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100304424 = 233211891423
BaseRepresentation
bin1011111101010…
…00011000101000
320222201222210200
411332220120220
5201134220144
613541512200
72325400503
oct576503050
9228658720
10100304424
115168a220
1229712660
1317a1c23c
14d47013a
158c14c69
hex5fa8628

100304424 has 96 divisors (see below), whose sum is σ = 299894400. Its totient is φ = 30032640.

The previous prime is 100304419. The next prime is 100304429. The reversal of 100304424 is 424403001.

It is an interprime number because it is at equal distance from previous prime (100304419) and next prime (100304429).

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 = 100304397 and 100304406.

It is not an unprimeable number, because it can be changed into a prime (100304429) 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, 69777 + ... + 71199.

It is an arithmetic number, because the mean of its divisors is an integer number (3123900).

Almost surely, 2100304424 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 100304424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149947200).

100304424 is an abundant number, since it is smaller than the sum of its proper divisors (199589976).

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

100304424 is a wasteful number, since it uses less digits than its factorization.

100304424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 100304424 is about 10015.2096333527. The cubic root of 100304424 is about 464.6294098983.

Adding to 100304424 its reverse (424403001), we get a palindrome (524707425).

The spelling of 100304424 in words is "one hundred million, three hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 89 99 132 178 198 264 267 356 396 534 712 792 801 979 1068 1423 1602 1958 2136 2846 2937 3204 3916 4269 5692 5874 6408 7832 8538 8811 11384 11748 12807 15653 17076 17622 23496 25614 31306 34152 35244 46959 51228 62612 70488 93918 102456 125224 126647 140877 187836 253294 281754 375672 379941 506588 563508 759882 1013176 1127016 1139823 1393117 1519764 2279646 2786234 3039528 4179351 4559292 5572468 8358702 9118584 11144936 12538053 16717404 25076106 33434808 50152212 100304424