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329303949 = 313234773107
BaseRepresentation
bin10011101000001…
…100011110001101
3211221122101002120
4103220030132031
51133300211244
652402043153
711106015552
oct2350143615
9757571076
10329303949
11159979a27
12923494b9
13532bb010
1431a40a29
151dd9b819
hex13a0c78d

329303949 has 64 divisors (see below), whose sum is σ = 515579904. Its totient is φ = 185366016.

The previous prime is 329303941. The next prime is 329303951. The reversal of 329303949 is 949303923.

It is not a de Polignac number, because 329303949 - 23 = 329303941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 329303949.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329303941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3077554 + ... + 3077660.

It is an arithmetic number, because the mean of its divisors is an integer number (8055936).

Almost surely, 2329303949 is an apocalyptic number.

329303949 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

329303949 is a deficient number, since it is larger than the sum of its proper divisors (186275955).

329303949 is a wasteful number, since it uses less digits than its factorization.

329303949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266.

The product of its (nonzero) digits is 157464, while the sum is 42.

The square root of 329303949 is about 18146.7338383523. The cubic root of 329303949 is about 690.5561217085.

The spelling of 329303949 in words is "three hundred twenty-nine million, three hundred three thousand, nine hundred forty-nine".

Divisors: 1 3 13 23 39 47 69 73 107 141 219 299 321 611 897 949 1081 1391 1679 1833 2461 2847 3243 3431 4173 5029 5037 7383 7811 10293 14053 15087 21827 23433 31993 42159 44603 65377 65481 78913 95979 101543 115667 133809 179653 196131 236739 304629 347001 367117 538959 1025869 1101351 1503671 2335489 3077607 4511013 4772521 7006467 8443691 14317563 25331073 109767983 329303949