Search a number
-
+
3921408 = 29322337
BaseRepresentation
bin1110111101011000000000
321101020011100
432331120000
52000441113
6220014400
745221451
oct16753000
97336140
103921408
112239237
121391400
13a73b7a
14741128
15526d73
hex3bd600

3921408 has 120 divisors (see below), whose sum is σ = 12128688. Its totient is φ = 1216512.

The previous prime is 3921383. The next prime is 3921413. The reversal of 3921408 is 8041293.

It is a congruent number.

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, 105966 + ... + 106002.

Almost surely, 23921408 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 3921408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064344).

3921408 is an abundant number, since it is smaller than the sum of its proper divisors (8207280).

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

3921408 is a wasteful number, since it uses less digits than its factorization.

3921408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3921408 is about 1980.2545290947. The cubic root of 3921408 is about 157.6935790620.

Subtracting 3921408 from its reverse (8041293), we obtain a triangular number (4119885 = T2870).

The spelling of 3921408 in words is "three million, nine hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 37 46 48 64 69 72 74 92 96 111 128 138 144 148 184 192 207 222 256 276 288 296 333 368 384 414 444 512 552 576 592 666 736 768 828 851 888 1104 1152 1184 1332 1472 1536 1656 1702 1776 2208 2304 2368 2553 2664 2944 3312 3404 3552 4416 4608 4736 5106 5328 5888 6624 6808 7104 7659 8832 9472 10212 10656 11776 13248 13616 14208 15318 17664 18944 20424 21312 26496 27232 28416 30636 35328 40848 42624 52992 54464 56832 61272 81696 85248 105984 108928 122544 163392 170496 217856 245088 326784 435712 490176 653568 980352 1307136 1960704 3921408