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323466491040 = 2535721119232861
BaseRepresentation
bin1001011010100000001…
…10101111010010100000
31010220220221021021201220
410231100012233102200
520244424410203130
6404333133255040
732240541544200
oct4552006572240
91126827237656
10323466491040
111151aa446350
1252834334480
132466c73c974
1411927982400
158632918410
hex4b501af4a0

323466491040 has 1152 divisors, whose sum is σ = 1420753582080. Its totient is φ = 60886425600.

The previous prime is 323466491039. The next prime is 323466491053. The reversal of 323466491040 is 40194664323.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 323466490983 and 323466491001.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113059210 + ... + 113062070.

It is an arithmetic number, because the mean of its divisors is an integer number (1233293040).

Almost surely, 2323466491040 is an apocalyptic number.

323466491040 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 323466491040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710376791040).

323466491040 is an abundant number, since it is smaller than the sum of its proper divisors (1097287091040).

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

323466491040 is a wasteful number, since it uses less digits than its factorization.

323466491040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 323466491040 in words is "three hundred twenty-three billion, four hundred sixty-six million, four hundred ninety-one thousand, forty".