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3950268 = 2237313741
BaseRepresentation
bin1111000100011010111100
321102200202020
433010122330
52002402033
6220400140
745401550
oct17043274
97380666
103950268
112258993
1213a6050
13a8404a
1474b860
155306b3
hex3c46bc

3950268 has 96 divisors (see below), whose sum is σ = 11440128. Its totient is φ = 1036800.

The previous prime is 3950267. The next prime is 3950291. The reversal of 3950268 is 8620593.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3950263) 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, 96328 + ... + 96368.

It is an arithmetic number, because the mean of its divisors is an integer number (119168).

Almost surely, 23950268 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 3950268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720064).

3950268 is an abundant number, since it is smaller than the sum of its proper divisors (7489860).

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

3950268 is a wasteful number, since it uses less digits than its factorization.

3950268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3950268 is about 1987.5281130087. The cubic root of 3950268 is about 158.0794878574.

The spelling of 3950268 in words is "three million, nine hundred fifty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 37 41 42 62 74 82 84 93 111 123 124 148 164 186 217 222 246 259 287 372 434 444 492 518 574 651 777 861 868 1036 1147 1148 1271 1302 1517 1554 1722 2294 2542 2604 3034 3108 3441 3444 3813 4551 4588 5084 6068 6882 7626 8029 8897 9102 10619 13764 15252 16058 17794 18204 21238 24087 26691 31857 32116 35588 42476 47027 48174 53382 63714 94054 96348 106764 127428 141081 188108 282162 329189 564324 658378 987567 1316756 1975134 3950268