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1043312004 = 2232729367389
BaseRepresentation
bin111110001011111…
…010110110000100
32200201011202000100
4332023322312010
54114041441004
6251305444100
734566001650
oct7613726604
92621152010
101043312004
11495a16829
122514a0630
131381c33a7
149c7c3a60
15618d9739
hex3e2fad84

1043312004 has 144 divisors (see below), whose sum is σ = 3134476800. Its totient is φ = 286288128.

The previous prime is 1043312003. The next prime is 1043312009. The reversal of 1043312004 is 4002133401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1043312003) 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 47 ways as a sum of consecutive naturals, for example, 2681842 + ... + 2682230.

It is an arithmetic number, because the mean of its divisors is an integer number (21767200).

Almost surely, 21043312004 is an apocalyptic number.

1043312004 is a gapful number since it is divisible by the number (14) 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 1043312004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567238400).

1043312004 is an abundant number, since it is smaller than the sum of its proper divisors (2091164796).

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

1043312004 is a wasteful number, since it uses less digits than its factorization.

1043312004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1043312004 is about 32300.3406173991. The cubic root of 1043312004 is about 1014.2337731141.

Adding to 1043312004 its reverse (4002133401), we get a palindrome (5045445405).

The spelling of 1043312004 in words is "one billion, forty-three million, three hundred twelve thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 367 389 406 522 609 734 778 812 1044 1101 1167 1218 1468 1556 1827 2202 2334 2436 2569 2723 3303 3501 3654 4404 4668 5138 5446 6606 7002 7308 7707 8169 10276 10643 10892 11281 13212 14004 15414 16338 21286 22562 23121 24507 30828 31929 32676 33843 42572 45124 46242 49014 63858 67686 74501 78967 92484 95787 98028 101529 127716 135372 142763 149002 157934 191574 203058 223503 236901 285526 298004 315868 383148 406116 428289 447006 473802 571052 670509 710703 856578 894012 947604 999341 1284867 1341018 1421406 1713156 1998682 2569734 2682036 2842812 2998023 3997364 4140127 5139468 5996046 8280254 8994069 11992092 12420381 16560508 17988138 24840762 28980889 35976276 37261143 49681524 57961778 74522286 86942667 115923556 149044572 173885334 260828001 347770668 521656002 1043312004