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329742324 = 223215160659
BaseRepresentation
bin10011101001110…
…111011111110100
3211222110122102200
4103221313133310
51133403223244
652415304500
711112522612
oct2351673764
9758418380
10329742324
1115a14931a
129251b130
1353412702
1431b166b2
151de36669
hex13a777f4

329742324 has 36 divisors (see below), whose sum is σ = 839049120. Its totient is φ = 109184400.

The previous prime is 329742323. The next prime is 329742337. The reversal of 329742324 is 423247923.

It is a happy number.

329742324 is a `hidden beast` number, since 3 + 297 + 42 + 324 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329742323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24894 + ... + 35765.

It is an arithmetic number, because the mean of its divisors is an integer number (23306920).

Almost surely, 2329742324 is an apocalyptic number.

It is an amenable number.

329742324 is an abundant number, since it is smaller than the sum of its proper divisors (509306796).

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

329742324 is a wasteful number, since it uses less digits than its factorization.

329742324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60820 (or 60815 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 329742324 is about 18158.8084410845. The cubic root of 329742324 is about 690.8624125079.

The spelling of 329742324 in words is "three hundred twenty-nine million, seven hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 151 302 453 604 906 1359 1812 2718 5436 60659 121318 181977 242636 363954 545931 727908 1091862 2183724 9159509 18319018 27478527 36638036 54957054 82435581 109914108 164871162 329742324