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330030288 = 2434725197
BaseRepresentation
bin10011101010111…
…101110011010000
3212000000021110000
4103222331303100
51133441432123
652425410000
711115132300
oct2352756320
9760007400
10330030288
1115a325705
1292639900
13534b37c3
1431b8d600
151de91b43
hex13abdcd0

330030288 has 150 divisors (see below), whose sum is σ = 1111368786. Its totient is φ = 94276224.

The previous prime is 330030263. The next prime is 330030293. The reversal of 330030288 is 882030033.

It can be written as a sum of positive squares in only one way, i.e., 276623424 + 53406864 = 16632^2 + 7308^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 60906 + ... + 66102.

Almost surely, 2330030288 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 330030288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555684393).

330030288 is an abundant number, since it is smaller than the sum of its proper divisors (781338498).

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

330030288 is a wasteful number, since it uses less digits than its factorization.

330030288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5231 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 330030288 is about 18166.7357552203. The cubic root of 330030288 is about 691.0634640613.

The spelling of 330030288 in words is "three hundred thirty million, thirty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3528 3969 4536 5197 5292 7056 7938 9072 10394 10584 15591 15876 20788 21168 31182 31752 36379 41576 46773 62364 63504 72758 83152 93546 109137 124728 140319 145516 187092 218274 249456 254653 280638 291032 327411 374184 420957 436548 509306 561276 582064 654822 748368 763959 841914 873096 982233 1018612 1122552 1309644 1527918 1683828 1746192 1964466 2037224 2245104 2291877 2619288 2946699 3055836 3367656 3928932 4074448 4583754 5238576 5893398 6111672 6735312 6875631 7857864 9167508 11786796 12223344 13751262 15715728 18335016 20626893 23573592 27502524 36670032 41253786 47147184 55005048 82507572 110010096 165015144 330030288