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330023104 = 2641173727
BaseRepresentation
bin10011101010111…
…100000011000000
3211222222220120221
4103222330003000
51133441214404
652425312424
711115102325
oct2352740300
9758886527
10330023104
1115a320274
1292635714
13534b0458
1431b8ab4c
151de8e954
hex13abc0c0

330023104 has 56 divisors (see below), whose sum is σ = 675668448. Its totient is φ = 159836160.

The previous prime is 330023101. The next prime is 330023119. The reversal of 330023104 is 401320033.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (330023101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453589 + ... + 454315.

It is an arithmetic number, because the mean of its divisors is an integer number (12065508).

Almost surely, 2330023104 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 330023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337834224).

330023104 is an abundant number, since it is smaller than the sum of its proper divisors (345645344).

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

330023104 is a wasteful number, since it uses less digits than its factorization.

330023104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 330023104 is about 18166.5380301256. The cubic root of 330023104 is about 691.0584497377.

Adding to 330023104 its reverse (401320033), we get a palindrome (731343137).

The spelling of 330023104 in words is "three hundred thirty million, twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 41 64 82 164 173 328 346 656 692 727 1312 1384 1454 2624 2768 2908 5536 5816 7093 11072 11632 14186 23264 28372 29807 46528 56744 59614 113488 119228 125771 226976 238456 251542 453952 476912 503084 953824 1006168 1907648 2012336 4024672 5156611 8049344 10313222 20626444 41252888 82505776 165011552 330023104