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328069620 = 223257923071
BaseRepresentation
bin10011100011011…
…111000111110100
3211212022122220200
4103203133013310
51132441211440
652315400500
711062355124
oct2343370764
9755278820
10328069620
1115920661a
1291a53130
1352c78248
14317dcc84
151dc05c30
hex138df1f4

328069620 has 72 divisors (see below), whose sum is σ = 1007784960. Its totient is φ = 86374080.

The previous prime is 328069613. The next prime is 328069627. The reversal of 328069620 is 26960823.

328069620 is a `hidden beast` number, since 3 + 28 + 0 + 6 + 9 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (328069613) and next prime (328069627).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328069627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2685 + ... + 25755.

Almost surely, 2328069620 is an apocalyptic number.

328069620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328069620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503892480).

328069620 is an abundant number, since it is smaller than the sum of its proper divisors (679715340).

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

328069620 is a wasteful number, since it uses less digits than its factorization.

328069620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23165 (or 23160 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 328069620 is about 18112.6922350047. The cubic root of 328069620 is about 689.6922383004.

It can be divided in two parts, 3280 and 69620, that added together give a square (72900 = 2702).

The spelling of 328069620 in words is "three hundred twenty-eight million, sixty-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 948 1185 1422 1580 2370 2844 3555 4740 7110 14220 23071 46142 69213 92284 115355 138426 207639 230710 276852 346065 415278 461420 692130 830556 1038195 1384260 1822609 2076390 3645218 4152780 5467827 7290436 9113045 10935654 16403481 18226090 21871308 27339135 32806962 36452180 54678270 65613924 82017405 109356540 164034810 328069620