Search a number
-
+
3921372 = 2234721319
BaseRepresentation
bin1110111101010111011100
321101020010000
432331113130
52000440442
6220014300
745221400
oct16752734
97336100
103921372
112239204
121391390
13a73b50
14741100
15526d4c
hex3bd5dc

3921372 has 180 divisors, whose sum is σ = 13518120. Its totient is φ = 979776.

The previous prime is 3921367. The next prime is 3921377. The reversal of 3921372 is 2731293.

3921372 = 283 + 293 + ... + 633.

It is an interprime number because it is at equal distance from previous prime (3921367) and next prime (3921377).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3921377) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 206379 + ... + 206397.

Almost surely, 23921372 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 3921372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6759060).

3921372 is an abundant number, since it is smaller than the sum of its proper divisors (9596748).

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

3921372 is a wasteful number, since it uses less digits than its factorization.

3921372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 44 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 3921372 is about 1980.2454393332. The cubic root of 3921372 is about 157.6930964984.

It can be divided in two parts, 392 and 1372, that multiplied together give a 5-th power (537824 = 145).

The spelling of 3921372 in words is "three million, nine hundred twenty-one thousand, three hundred seventy-two".