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1000371424 = 251316314753
BaseRepresentation
bin111011101000000…
…111010011100000
32120201101010121111
4323220013103200
54022043341144
6243133233104
733535005523
oct7350072340
92521333544
101000371424
11473757948
1223b032794
1312c33a270
1496c06bba
155cc56534
hex3ba074e0

1000371424 has 48 divisors (see below), whose sum is σ = 2134136592. Its totient is φ = 458846208.

The previous prime is 1000371419. The next prime is 1000371433. The reversal of 1000371424 is 4241730001.

It is a junction number, because it is equal to n+sod(n) for n = 1000371395 and 1000371404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60432 + ... + 75184.

It is an arithmetic number, because the mean of its divisors is an integer number (44461179).

Almost surely, 21000371424 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 1000371424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067068296).

1000371424 is an abundant number, since it is smaller than the sum of its proper divisors (1133765168).

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

1000371424 is a wasteful number, since it uses less digits than its factorization.

1000371424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14939 (or 14931 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 1000371424 is about 31628.6487855552. The cubic root of 1000371424 is about 1000.1237926747.

The spelling of 1000371424 in words is "one billion, three hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 163 208 326 416 652 1304 2119 2608 4238 5216 8476 14753 16952 29506 33904 59012 67808 118024 191789 236048 383578 472096 767156 1534312 2404739 3068624 4809478 6137248 9618956 19237912 31261607 38475824 62523214 76951648 125046428 250092856 500185712 1000371424