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329704704 = 2832720443
BaseRepresentation
bin10011101001101…
…110010100000000
3211222101201211100
4103221232110000
51133401022304
652414414400
711112305130
oct2351562400
9758351740
10329704704
1115a12302a
1292501400
13533cb554
1431b06ac0
151de2a439
hex13a6e500

329704704 has 108 divisors (see below), whose sum is σ = 1086475936. Its totient is φ = 94196736.

The previous prime is 329704691. The next prime is 329704721. The reversal of 329704704 is 407407923.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5907 + ... + 26349.

Almost surely, 2329704704 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 329704704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543237968).

329704704 is an abundant number, since it is smaller than the sum of its proper divisors (756771232).

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

329704704 is a wasteful number, since it uses less digits than its factorization.

329704704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20472 (or 20455 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 329704704 is about 18157.7725506186. The cubic root of 329704704 is about 690.8361382219.

The spelling of 329704704 in words is "three hundred twenty-nine million, seven hundred four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 20443 40886 61329 81772 122658 143101 163544 183987 245316 286202 327088 367974 429303 490632 572404 654176 735948 858606 981264 1144808 1287909 1308352 1471896 1717212 1962528 2289616 2575818 2616704 2943792 3434424 3925056 4579232 5151636 5233408 5887584 6868848 7850112 9158464 10303272 11775168 13737696 15700224 18316928 20606544 23550336 27475392 36633856 41213088 47100672 54950784 82426176 109901568 164852352 329704704