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329544940 = 225372231997
BaseRepresentation
bin10011101001000…
…111010011101100
3211222002121200011
4103221013103230
51133330414230
652411143004
711111041264
oct2351072354
9758077604
10329544940
1115a023a9a
1292444a64
135337390a
1431aa47a4
151dde7e2a
hex13a474ec

329544940 has 48 divisors (see below), whose sum is σ = 714292992. Its totient is φ = 127616256.

The previous prime is 329544931. The next prime is 329544947. The reversal of 329544940 is 49445923.

It is a junction number, because it is equal to n+sod(n) for n = 329544893 and 329544902.

It is not an unprimeable number, because it can be changed into a prime (329544947) 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, 164022 + ... + 166018.

It is an arithmetic number, because the mean of its divisors is an integer number (14881104).

Almost surely, 2329544940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329544940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357146496).

329544940 is an abundant number, since it is smaller than the sum of its proper divisors (384748052).

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

329544940 is a wasteful number, since it uses less digits than its factorization.

329544940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 329544940 is about 18153.3726893930. The cubic root of 329544940 is about 690.7245347420.

The spelling of 329544940 in words is "three hundred twenty-nine million, five hundred forty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 223 370 446 740 892 1115 1997 2230 3994 4460 7988 8251 9985 16502 19970 33004 39940 41255 73889 82510 147778 165020 295556 369445 445331 738890 890662 1477780 1781324 2226655 4453310 8906620 16477247 32954494 65908988 82386235 164772470 329544940