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16340672 = 261723653
BaseRepresentation
bin111110010101…
…011011000000
31010202012012002
4332111123000
513140400142
61342123132
7255615305
oct76253300
933665162
1016340672
119250a97
1255804a8
13350194a
1422550ac
15167ba32
hexf956c0

16340672 has 56 divisors (see below), whose sum is σ = 35881056. Its totient is φ = 7344128.

The previous prime is 16340671. The next prime is 16340677. The reversal of 16340672 is 27604361.

16340672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×163406723 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (16340671) 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, 24698 + ... + 25350.

Almost surely, 216340672 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 16340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17940528).

16340672 is an abundant number, since it is smaller than the sum of its proper divisors (19540384).

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

16340672 is a wasteful number, since it uses less digits than its factorization.

16340672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 16340672 is about 4042.3597069039. The cubic root of 16340672 is about 253.7600809733.

The spelling of 16340672 in words is "sixteen million, three hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 136 184 272 368 391 544 653 736 782 1088 1306 1472 1564 2612 3128 5224 6256 10448 11101 12512 15019 20896 22202 25024 30038 41792 44404 60076 88808 120152 177616 240304 255323 355232 480608 510646 710464 961216 1021292 2042584 4085168 8170336 16340672