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3674820 = 223573839
BaseRepresentation
bin1110000001001011000100
320220200220110
432001023010
51420043240
6210433020
743143522
oct16011304
96820813
103674820
11208aa46
121292770
139b8866
146b9312
154c8c80
hex3812c4

3674820 has 48 divisors (see below), whose sum is σ = 10442880. Its totient is φ = 965376.

The previous prime is 3674819. The next prime is 3674837. The reversal of 3674820 is 284763.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 37 + 63 + 74 + 410 + 87 + 219 + 0 .

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, 3961 + ... + 4799.

It is an arithmetic number, because the mean of its divisors is an integer number (217560).

Almost surely, 23674820 is an apocalyptic number.

3674820 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 3674820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221440).

3674820 is an abundant number, since it is smaller than the sum of its proper divisors (6768060).

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

3674820 is a wasteful number, since it uses less digits than its factorization.

3674820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3674820 is about 1916.9820030454. The cubic root of 3674820 is about 154.3163788746.

The spelling of 3674820 in words is "three million, six hundred seventy-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 839 876 1095 1460 1678 2190 2517 3356 4195 4380 5034 8390 10068 12585 16780 25170 50340 61247 122494 183741 244988 306235 367482 612470 734964 918705 1224940 1837410 3674820