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323141640 = 233513919373
BaseRepresentation
bin10011010000101…
…100000000001000
3211112001021222220
4103100230000020
51130211013030
652022014040
711002441623
oct2320540010
9745037886
10323141640
11156450108
1290277320
1351c41193
1430cb8dba
151d580a10
hex1342c008

323141640 has 64 divisors (see below), whose sum is σ = 976449600. Its totient is φ = 85546752.

The previous prime is 323141633. The next prime is 323141641. The reversal of 323141640 is 46141323.

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

It is a self number, because there is not a number n which added to its sum of digits gives 323141640.

It is not an unprimeable number, because it can be changed into a prime (323141641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6994 + ... + 26366.

It is an arithmetic number, because the mean of its divisors is an integer number (15257025).

Almost surely, 2323141640 is an apocalyptic number.

323141640 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 323141640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488224800).

323141640 is an abundant number, since it is smaller than the sum of its proper divisors (653307960).

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

323141640 is a wasteful number, since it uses less digits than its factorization.

323141640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19526 (or 19522 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 323141640 is about 17976.1408539208. The cubic root of 323141640 is about 686.2214801635.

Adding to 323141640 its reverse (46141323), we get a palindrome (369282963).

The spelling of 323141640 in words is "three hundred twenty-three million, one hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 8340 16680 19373 38746 58119 77492 96865 116238 154984 193730 232476 290595 387460 464952 581190 774920 1162380 2324760 2692847 5385694 8078541 10771388 13464235 16157082 21542776 26928470 32314164 40392705 53856940 64628328 80785410 107713880 161570820 323141640