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328031640 = 23335378209
BaseRepresentation
bin10011100011010…
…101110110011000
3211212020201211000
4103203111312120
51132434003030
652314505000
711062136316
oct2343256630
9755221730
10328031640
11159190032
1291a35160
1352c63b81
14317cd0b6
151dbe9860
hex138d5d98

328031640 has 128 divisors (see below), whose sum is σ = 1123128000. Its totient is φ = 85100544.

The previous prime is 328031633. The next prime is 328031653. The reversal of 328031640 is 46130823.

It is a happy number.

328031640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 35856 + ... + 44064.

Almost surely, 2328031640 is an apocalyptic number.

328031640 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 328031640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561564000).

328031640 is an abundant number, since it is smaller than the sum of its proper divisors (795096360).

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

328031640 is a wasteful number, since it uses less digits than its factorization.

328031640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8266 (or 8256 counting only the distinct ones).

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

The square root of 328031640 is about 18111.6437685816. The cubic root of 328031640 is about 689.6656224842.

It can be divided in two parts, 32803 and 1640, that added together give a palindrome (34443).

The spelling of 328031640 in words is "three hundred twenty-eight million, thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 90 108 111 120 135 148 180 185 216 222 270 296 333 360 370 444 540 555 666 740 888 999 1080 1110 1332 1480 1665 1998 2220 2664 3330 3996 4440 4995 6660 7992 8209 9990 13320 16418 19980 24627 32836 39960 41045 49254 65672 73881 82090 98508 123135 147762 164180 197016 221643 246270 295524 303733 328360 369405 443286 492540 591048 607466 738810 886572 911199 985080 1108215 1214932 1477620 1518665 1773144 1822398 2216430 2429864 2733597 2955240 3037330 3644796 4432860 4555995 5467194 6074660 7289592 8200791 8865720 9111990 10934388 12149320 13667985 16401582 18223980 21868776 27335970 32803164 36447960 41003955 54671940 65606328 82007910 109343880 164015820 328031640