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329899248 = 243272931117
BaseRepresentation
bin10011101010011…
…101110011110000
3211222202121200200
4103222131303300
51133423233443
652422515200
711114045250
oct2352356360
9758677620
10329899248
1115a246208
1292595b00
1353468c73
1431b57960
151de67dd3
hex13a9dcf0

329899248 has 120 divisors (see below), whose sum is σ = 1059703008. Its totient is φ = 93851136.

The previous prime is 329899217. The next prime is 329899253. The reversal of 329899248 is 842998923.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 329899194 and 329899203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294786 + ... + 295902.

Almost surely, 2329899248 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 329899248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529851504).

329899248 is an abundant number, since it is smaller than the sum of its proper divisors (729803760).

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

329899248 is a wasteful number, since it uses less digits than its factorization.

329899248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1422 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 329899248 is about 18163.1288053573. The cubic root of 329899248 is about 690.9719886749.

The spelling of 329899248 in words is "three hundred twenty-nine million, eight hundred ninety-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 293 336 504 586 879 1008 1117 1172 1758 2051 2234 2344 2637 3351 3516 4102 4468 4688 5274 6153 6702 7032 7819 8204 8936 10053 10548 12306 13404 14064 15638 16408 17872 18459 20106 21096 23457 24612 26808 31276 32816 36918 40212 42192 46914 49224 53616 62552 70371 73836 80424 93828 98448 125104 140742 147672 160848 187656 281484 295344 327281 375312 562968 654562 981843 1125936 1309124 1963686 2290967 2618248 2945529 3927372 4581934 5236496 5891058 6872901 7854744 9163868 11782116 13745802 15709488 18327736 20618703 23564232 27491604 36655472 41237406 47128464 54983208 82474812 109966416 164949624 329899248