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329099088 = 24323307971
BaseRepresentation
bin10011100111011…
…010011101010000
3211221020222002010
4103213122131100
51133222132323
652353422520
711104203363
oct2347323520
9757228063
10329099088
1115984a01a
129226aa40
13532489b6
14319ca0da
151dd5ac93
hex139da750

329099088 has 80 divisors (see below), whose sum is σ = 890942976. Its totient is φ = 104480640.

The previous prime is 329099083. The next prime is 329099093. The reversal of 329099088 is 880990923.

It is an interprime number because it is at equal distance from previous prime (329099083) and next prime (329099093).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329099083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338443 + ... + 339413.

Almost surely, 2329099088 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 329099088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445471488).

329099088 is an abundant number, since it is smaller than the sum of its proper divisors (561843888).

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

329099088 is a wasteful number, since it uses less digits than its factorization.

329099088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 329099088 is about 18141.0883907223. The cubic root of 329099088 is about 690.4128929740.

It can be divided in two parts, 3290 and 99088, that added together give a triangular number (102378 = T452).

The spelling of 329099088 in words is "three hundred twenty-nine million, ninety-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 307 368 552 614 921 971 1104 1228 1842 1942 2456 2913 3684 3884 4912 5826 7061 7368 7768 11652 14122 14736 15536 21183 22333 23304 28244 42366 44666 46608 56488 66999 84732 89332 112976 133998 169464 178664 267996 298097 338928 357328 535992 596194 894291 1071984 1192388 1788582 2384776 3577164 4769552 6856231 7154328 13712462 14308656 20568693 27424924 41137386 54849848 82274772 109699696 164549544 329099088