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329531490 = 2345735573
BaseRepresentation
bin10011101001000…
…100000001100010
3211222001221020000
4103221010001202
51133330001430
652411000430
711110654131
oct2351040142
9758057200
10329531490
1115a014982
1292439116
135336a762
1431a9d918
151dde3e60
hex13a44062

329531490 has 80 divisors (see below), whose sum is σ = 898372728. Its totient is φ = 86655744.

The previous prime is 329531483. The next prime is 329531537. The reversal of 329531490 is 94135923.

It is a happy number.

329531490 is a `hidden beast` number, since 32 + 9 + 531 + 4 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 186896241 + 142635249 = 13671^2 + 11943^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56344 + ... + 61916.

Almost surely, 2329531490 is an apocalyptic number.

329531490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 329531490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449186364).

329531490 is an abundant number, since it is smaller than the sum of its proper divisors (568841238).

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

329531490 is a wasteful number, since it uses less digits than its factorization.

329531490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 329531490 is about 18153.0022310361. The cubic root of 329531490 is about 690.7151375700.

It can be divided in two parts, 32953 and 1490, that added together give a palindrome (34443).

The spelling of 329531490 in words is "three hundred twenty-nine million, five hundred thirty-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 81 90 135 146 162 219 270 365 405 438 657 730 810 1095 1314 1971 2190 3285 3942 5573 5913 6570 9855 11146 11826 16719 19710 27865 29565 33438 50157 55730 59130 83595 100314 150471 167190 250785 300942 406829 451413 501570 752355 813658 902826 1220487 1504710 2034145 2257065 2440974 3661461 4068290 4514130 6102435 7322922 10984383 12204870 18307305 21968766 32953149 36614610 54921915 65906298 109843830 164765745 329531490