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3955440 = 243516481
BaseRepresentation
bin1111000101101011110000
321102221211210
433011223300
52003033230
6220440120
745422616
oct17055360
97387753
103955440
112261865
1213a9040
13a864c8
1474d6b6
15531eb0
hex3c5af0

3955440 has 40 divisors (see below), whose sum is σ = 12262608. Its totient is φ = 1054720.

The previous prime is 3955433. The next prime is 3955447. The reversal of 3955440 is 445593.

It is an interprime number because it is at equal distance from previous prime (3955433) and next prime (3955447).

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3955398 and 3955407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3955447) 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, 8001 + ... + 8480.

Almost surely, 23955440 is an apocalyptic number.

3955440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3955440 is an abundant number, since it is smaller than the sum of its proper divisors (8307168).

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

3955440 is a wasteful number, since it uses less digits than its factorization.

3955440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16497 (or 16491 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 3955440 is about 1988.8288010787. The cubic root of 3955440 is about 158.1484477823.

It can be divided in two parts, 39 and 55440, that multiplied together give a triangular number (2162160 = T2079).

The spelling of 3955440 in words is "three million, nine hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 16481 32962 49443 65924 82405 98886 131848 164810 197772 247215 263696 329620 395544 494430 659240 791088 988860 1318480 1977720 3955440