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327910428 = 2232371731423
BaseRepresentation
bin10011100010111…
…000010000011100
3211212000120112200
4103202320100130
51132421113203
652312131500
711061123036
oct2342702034
9755016480
10327910428
11159107a5a
1291996b90
1352c20951
143179ac56
151dbc39a3
hex138b841c

327910428 has 72 divisors (see below), whose sum is σ = 856809408. Its totient is φ = 105660288.

The previous prime is 327910393. The next prime is 327910439. The reversal of 327910428 is 824019723.

327910428 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3279104282 = 215050497582286368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 327910392 and 327910401.

It is a congruent number.

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, 229725 + ... + 231147.

Almost surely, 2327910428 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 327910428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428404704).

327910428 is an abundant number, since it is smaller than the sum of its proper divisors (528898980).

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

327910428 is a wasteful number, since it uses less digits than its factorization.

327910428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 327910428 is about 18108.2972142606. The cubic root of 327910428 is about 689.5806651834.

The spelling of 327910428 in words is "three hundred twenty-seven million, nine hundred ten thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 173 222 333 346 444 519 666 692 1038 1332 1423 1557 2076 2846 3114 4269 5692 6228 6401 8538 12802 12807 17076 19203 25604 25614 38406 51228 52651 57609 76812 105302 115218 157953 210604 230436 246179 315906 473859 492358 631812 738537 947718 984716 1477074 1895436 2215611 2954148 4431222 8862444 9108623 18217246 27325869 36434492 54651738 81977607 109303476 163955214 327910428