Search a number
-
+
328377420 = 2232572311201
BaseRepresentation
bin10011100100101…
…010010001001100
3211212220022010200
4103210222101030
51133031034140
652330133500
711065106400
oct2344522114
9755808120
10328377420
111593a68a8
1291b81290
1353055387
143187d100
151dc67030
hex1392a44c

328377420 has 216 divisors, whose sum is σ = 1197076608. Its totient is φ = 72576000.

The previous prime is 328377407. The next prime is 328377461. The reversal of 328377420 is 24773823.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 272820 + ... + 274020.

Almost surely, 2328377420 is an apocalyptic number.

328377420 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 328377420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598538304).

328377420 is an abundant number, since it is smaller than the sum of its proper divisors (868699188).

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

328377420 is a wasteful number, since it uses less digits than its factorization.

328377420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 328377420 is about 18121.1870472108. The cubic root of 328377420 is about 689.9078641942.

The spelling of 328377420 in words is "three hundred twenty-eight million, three hundred seventy-seven thousand, four hundred twenty".