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3481950 = 2352139167
BaseRepresentation
bin1101010010000101011110
320112220100010
431102011132
51342410300
6202344050
741411313
oct15220536
96486303
103481950
111a6904a
1211bb026
1394bb34
14668d0a
1548ba50
hex35215e

3481950 has 48 divisors (see below), whose sum is σ = 8749440. Its totient is φ = 916320.

The previous prime is 3481937. The next prime is 3481967. The reversal of 3481950 is 591843.

3481950 = T51 + T52 + ... + T275.

3481950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20767 + ... + 20933.

It is an arithmetic number, because the mean of its divisors is an integer number (182280).

Almost surely, 23481950 is an apocalyptic number.

3481950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374720).

3481950 is an abundant number, since it is smaller than the sum of its proper divisors (5267490).

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

3481950 is a wasteful number, since it uses less digits than its factorization.

3481950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 3481950 is about 1865.9983922823. The cubic root of 3481950 is about 151.5679965768.

It can be divided in two parts, 3 and 481950, that multiplied together give a triangular number (1445850 = T1700).

The spelling of 3481950 in words is "three million, four hundred eighty-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 139 150 167 278 334 417 501 695 834 835 1002 1390 1670 2085 2505 3475 4170 4175 5010 6950 8350 10425 12525 20850 23213 25050 46426 69639 116065 139278 232130 348195 580325 696390 1160650 1740975 3481950