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328463400 = 23352896151
BaseRepresentation
bin10011100100111…
…111010000101000
3211220001200002010
4103210333100220
51133041312100
652332035520
711065615146
oct2344772050
9756050063
10328463400
11159455461
1292002ba0
1353085555
14318a2596
151dc82750
hex1393f428

328463400 has 96 divisors (see below), whose sum is σ = 1029844800. Its totient is φ = 86592000.

The previous prime is 328463381. The next prime is 328463417. The reversal of 328463400 is 4364823.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 50325 + ... + 56475.

It is an arithmetic number, because the mean of its divisors is an integer number (10727550).

Almost surely, 2328463400 is an apocalyptic number.

328463400 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 328463400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514922400).

328463400 is an abundant number, since it is smaller than the sum of its proper divisors (701381400).

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

328463400 is a wasteful number, since it uses less digits than its factorization.

328463400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6259 (or 6250 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 328463400 is about 18123.5592530827. The cubic root of 328463400 is about 689.9680724567.

The spelling of 328463400 in words is "three hundred twenty-eight million, four hundred sixty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 150 178 200 267 300 356 445 534 600 712 890 1068 1335 1780 2136 2225 2670 3560 4450 5340 6151 6675 8900 10680 12302 13350 17800 18453 24604 26700 30755 36906 49208 53400 61510 73812 92265 123020 147624 153775 184530 246040 307550 369060 461325 547439 615100 738120 922650 1094878 1230200 1642317 1845300 2189756 2737195 3284634 3690600 4379512 5474390 6569268 8211585 10948780 13138536 13685975 16423170 21897560 27371950 32846340 41057925 54743900 65692680 82115850 109487800 164231700 328463400