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3874320 = 243255381
BaseRepresentation
bin1110110001111000010000
321021211120100
432301320100
51442434240
6215012400
744634252
oct16617020
97254510
103874320
11220691a
12136a100
13a585c8
1472bcd2
15517e30
hex3b1e10

3874320 has 60 divisors (see below), whose sum is σ = 13013676. Its totient is φ = 1032960.

The previous prime is 3874319. The next prime is 3874333. The reversal of 3874320 is 234783.

It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 2547216 = 1152^2 + 1596^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1971 + ... + 3410.

Almost surely, 23874320 is an apocalyptic number.

3874320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3874320 is an abundant number, since it is smaller than the sum of its proper divisors (9139356).

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

3874320 is a wasteful number, since it uses less digits than its factorization.

3874320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5400 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3874320 is about 1968.3292407522. The cubic root of 3874320 is about 157.0598443881.

The spelling of 3874320 in words is "three million, eight hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 5381 10762 16143 21524 26905 32286 43048 48429 53810 64572 80715 86096 96858 107620 129144 161430 193716 215240 242145 258288 322860 387432 430480 484290 645720 774864 968580 1291440 1937160 3874320