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3682428 = 2231931521
BaseRepresentation
bin1110000011000001111100
320221002100020
432003001330
51420314203
6210532140
743204641
oct16030174
96832306
103682428
112095732
121297050
139bc169
146bbdc8
154cb153
hex38307c

3682428 has 48 divisors (see below), whose sum is σ = 9354240. Its totient is φ = 1123200.

The previous prime is 3682381. The next prime is 3682429. The reversal of 3682428 is 8242863.

3682428 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (18432) is a multiple of the sum of its prime divisors (576).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6808 + ... + 7328.

It is an arithmetic number, because the mean of its divisors is an integer number (194880).

Almost surely, 23682428 is an apocalyptic number.

3682428 is a gapful number since it is divisible by the number (38) 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 3682428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677120).

3682428 is an abundant number, since it is smaller than the sum of its proper divisors (5671812).

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

3682428 is a wasteful number, since it uses less digits than its factorization.

3682428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 576 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 3682428 is about 1918.9653462218. The cubic root of 3682428 is about 154.4227994824.

The spelling of 3682428 in words is "three million, six hundred eighty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 521 589 1042 1178 1563 1767 2084 2356 3126 3534 6252 7068 9899 16151 19798 29697 32302 39596 48453 59394 64604 96906 118788 193812 306869 613738 920607 1227476 1841214 3682428