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3373920 = 253351171
BaseRepresentation
bin1100110111101101100000
320100102011000
430313231200
51330431140
6200152000
740451334
oct14675540
96312130
103373920
1119a4970
121168600
13911904
1463b7c4
15469a30
hex337b60

3373920 has 192 divisors, whose sum is σ = 13063680. Its totient is φ = 806400.

The previous prime is 3373907. The next prime is 3373921. The reversal of 3373920 is 293733.

It is a super-2 number, since 2×33739202 = 22766672332800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3373921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47485 + ... + 47555.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

Almost surely, 23373920 is an apocalyptic number.

3373920 is a gapful number since it is divisible by the number (30) 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 3373920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

3373920 is an abundant number, since it is smaller than the sum of its proper divisors (9689760).

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

3373920 is a wasteful number, since it uses less digits than its factorization.

3373920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 3373920 is about 1836.8233447994. The cubic root of 3373920 is about 149.9839982930.

The spelling of 3373920 in words is "three million, three hundred seventy-three thousand, nine hundred twenty".