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3784680 = 2332510513
BaseRepresentation
bin1110011011111111101000
321010021121100
432123333220
51432102210
6213041400
744112024
oct16337750
97107540
103784680
112155539
121326260
13a26873
14707384
154eb5c0
hex39bfe8

3784680 has 48 divisors (see below), whose sum is σ = 12301380. Its totient is φ = 1009152.

The previous prime is 3784657. The next prime is 3784687. The reversal of 3784680 is 864873.

It can be written as a sum of positive squares in 2 ways, for example, as 3048516 + 736164 = 1746^2 + 858^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3784687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4897 + ... + 5616.

Almost surely, 23784680 is an apocalyptic number.

3784680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3784680 is an abundant number, since it is smaller than the sum of its proper divisors (8516700).

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

3784680 is a wasteful number, since it uses less digits than its factorization.

3784680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10530 (or 10523 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3784680 is about 1945.4254033501. The cubic root of 3784680 is about 155.8390845644.

The spelling of 3784680 in words is "three million, seven hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 10513 21026 31539 42052 52565 63078 84104 94617 105130 126156 157695 189234 210260 252312 315390 378468 420520 473085 630780 756936 946170 1261560 1892340 3784680