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3928340 = 2251329521
BaseRepresentation
bin1110111111000100010100
321101120200002
432333010110
52001201330
6220110432
745250613
oct16770424
97346602
103928340
112243469
121395418
13a77080
1474387a
15528e45
hex3bf114

3928340 has 48 divisors (see below), whose sum is σ = 9208080. Its totient is φ = 1397760.

The previous prime is 3928319. The next prime is 3928361. The reversal of 3928340 is 438293.

It is an interprime number because it is at equal distance from previous prime (3928319) and next prime (3928361).

It can be written as a sum of positive squares in 8 ways, for example, as 498436 + 3429904 = 706^2 + 1852^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7280 + ... + 7800.

It is an arithmetic number, because the mean of its divisors is an integer number (191835).

Almost surely, 23928340 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 3928340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604040).

3928340 is an abundant number, since it is smaller than the sum of its proper divisors (5279740).

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

3928340 is a wasteful number, since it uses less digits than its factorization.

3928340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 3928340 is about 1982.0040363228. The cubic root of 3928340 is about 157.7864443798.

3928340 divided by its sum of digits (29) gives a triangular number (135460 = T520).

The spelling of 3928340 in words is "three million, nine hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 521 580 754 1042 1508 1885 2084 2605 3770 5210 6773 7540 10420 13546 15109 27092 30218 33865 60436 67730 75545 135460 151090 196417 302180 392834 785668 982085 1964170 3928340