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16434040 = 235758693
BaseRepresentation
bin111110101100…
…001101111000
31010220221021011
4332230031320
513201342130
61344123304
7256454440
oct76541570
933827234
1016434040
119305157
125606534
1335352ac
14227b120
15169952a
hexfac378

16434040 has 32 divisors (see below), whose sum is σ = 42259680. Its totient is φ = 5634432.

The previous prime is 16434001. The next prime is 16434049. The reversal of 16434040 is 4043461.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16434049) 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, 29067 + ... + 29626.

It is an arithmetic number, because the mean of its divisors is an integer number (1320615).

Almost surely, 216434040 is an apocalyptic number.

16434040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16434040 is an abundant number, since it is smaller than the sum of its proper divisors (25825640).

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

16434040 is a wasteful number, since it uses less digits than its factorization.

16434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58711 (or 58707 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 16434040 is about 4053.8919571197. The cubic root of 16434040 is about 254.2424782659.

The spelling of 16434040 in words is "sixteen million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 58693 117386 234772 293465 410851 469544 586930 821702 1173860 1643404 2054255 2347720 3286808 4108510 8217020 16434040