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1323431004 = 2237210912063
BaseRepresentation
bin100111011100001…
…1111010001011100
310102020021021001010
41032320133101130
510202244243004
6335153415220
744536656300
oct11670372134
93366237033
101323431004
1161a051335
1230b26a510
1318124cc8c
14c7a9dd00
157b2bca89
hex4ee1f45c

1323431004 has 72 divisors (see below), whose sum is σ = 3597205248. Its totient is φ = 377593440.

The previous prime is 1323430961. The next prime is 1323431023. The reversal of 1323431004 is 4001343231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 640477 + ... + 642539.

It is an arithmetic number, because the mean of its divisors is an integer number (49961184).

Almost surely, 21323431004 is an apocalyptic number.

1323431004 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 1323431004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798602624).

1323431004 is an abundant number, since it is smaller than the sum of its proper divisors (2273774244).

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

1323431004 is a wasteful number, since it uses less digits than its factorization.

1323431004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1323431004 is about 36378.9912449480. The cubic root of 1323431004 is about 1097.9109121119.

Adding to 1323431004 its reverse (4001343231), we get a palindrome (5324774235).

The spelling of 1323431004 in words is "one billion, three hundred twenty-three million, four hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1091 2063 2182 3273 4126 4364 6189 6546 7637 8252 12378 13092 14441 15274 22911 24756 28882 30548 43323 45822 53459 57764 86646 91644 101087 106918 160377 173292 202174 213836 303261 320754 404348 606522 641508 1213044 2250733 4501466 6752199 9002932 13504398 15755131 27008796 31510262 47265393 63020524 94530786 110285917 189061572 220571834 330857751 441143668 661715502 1323431004