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1002424344 = 2331917912281
BaseRepresentation
bin111011101111111…
…100100000011000
32120212020102200120
4323233330200120
54023110034334
6243245233240
733561315645
oct7357744030
92525212616
101002424344
1147492a279
1223b862820
1312c8a87cc
14971bcdcc
155d00e949
hex3bbfc818

1002424344 has 64 divisors (see below), whose sum is σ = 2652912000. Its totient is φ = 314760960.

The previous prime is 1002424343. The next prime is 1002424391. The reversal of 1002424344 is 4434242001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002424343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75484 + ... + 87764.

It is an arithmetic number, because the mean of its divisors is an integer number (41451750).

Almost surely, 21002424344 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 1002424344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326456000).

1002424344 is an abundant number, since it is smaller than the sum of its proper divisors (1650487656).

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

1002424344 is a wasteful number, since it uses less digits than its factorization.

1002424344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12488 (or 12484 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1002424344 is about 31661.0856415253. The cubic root of 1002424344 is about 1000.8074624955.

Adding to 1002424344 its reverse (4434242001), we get a palindrome (5436666345).

The spelling of 1002424344 in words is "one billion, two million, four hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 179 228 358 456 537 716 1074 1432 2148 3401 4296 6802 10203 12281 13604 20406 24562 27208 36843 40812 49124 73686 81624 98248 147372 233339 294744 466678 700017 933356 1400034 1866712 2198299 2800068 4396598 5600136 6594897 8793196 13189794 17586392 26379588 41767681 52759176 83535362 125303043 167070724 250606086 334141448 501212172 1002424344