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3930432 = 263111861
BaseRepresentation
bin1110111111100101000000
321101200112120
432333211000
52001233212
6220124240
745256662
oct16774500
97350476
103930432
112244aa0
121396680
13a77ccc
14744532
1552988c
hex3bf940

3930432 has 56 divisors (see below), whose sum is σ = 11350752. Its totient is φ = 1190400.

The previous prime is 3930391. The next prime is 3930439. The reversal of 3930432 is 2340393.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3930439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1182 + ... + 3042.

It is an arithmetic number, because the mean of its divisors is an integer number (202692).

Almost surely, 23930432 is an apocalyptic number.

3930432 is a gapful number since it is divisible by the number (32) 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 3930432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675376).

3930432 is an abundant number, since it is smaller than the sum of its proper divisors (7420320).

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

3930432 is a wasteful number, since it uses less digits than its factorization.

3930432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 3930432 is about 1982.5317147526. The cubic root of 3930432 is about 157.8144486313.

The spelling of 3930432 in words is "three million, nine hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1861 2112 3722 5583 7444 11166 14888 20471 22332 29776 40942 44664 59552 61413 81884 89328 119104 122826 163768 178656 245652 327536 357312 491304 655072 982608 1310144 1965216 3930432