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3944001000 = 233531969193
BaseRepresentation
bin1110101100010100…
…1010110111101000
3101011212100000021010
43223011022313220
531034131013000
61451205343520
7166510312122
oct35305126750
911155300233
103944001000
111744316365
12920a07ba0
134ab145904
14295b38212
151813b2d50
hexeb14ade8

3944001000 has 128 divisors (see below), whose sum is σ = 12953116800. Its totient is φ = 996364800.

The previous prime is 3944000999. The next prime is 3944001001. The reversal of 3944001000 is 1004493.

It is an interprime number because it is at equal distance from previous prime (3944000999) and next prime (3944001001).

It is not an unprimeable number, because it can be changed into a prime (3944001001) 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 31 ways as a sum of consecutive naturals, for example, 22404 + ... + 91596.

It is an arithmetic number, because the mean of its divisors is an integer number (101196225).

Almost surely, 23944001000 is an apocalyptic number.

3944001000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3944001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6476558400).

3944001000 is an abundant number, since it is smaller than the sum of its proper divisors (9009115800).

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

3944001000 is a wasteful number, since it uses less digits than its factorization.

3944001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69236 (or 69222 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3944001000 is about 62801.2818340518. The cubic root of 3944001000 is about 1579.9584724438.

Adding to 3944001000 its reverse (1004493), we get a palindrome (3945005493).

The spelling of 3944001000 in words is "three billion, nine hundred forty-four million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 57000 69193 138386 207579 276772 345965 415158 553544 691930 830316 1037895 1314667 1383860 1660632 1729825 2075790 2629334 2767720 3459650 3944001 4151580 5189475 5258668 6573335 6919300 7888002 8303160 8649125 10378950 10517336 13146670 13838600 15776004 17298250 19720005 20757900 25947375 26293340 31552008 32866675 34596500 39440010 41515800 51894750 52586680 65733350 69193000 78880020 98600025 103789500 131466700 157760040 164333375 197200050 207579000 262933400 328666750 394400100 493000125 657333500 788800200 986000250 1314667000 1972000500 3944001000