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2734420176 = 2432371912687
BaseRepresentation
bin1010001011111011…
…1111000011010000
321001120021221022100
42202332333003100
521100002421201
61131200040400
7124522121325
oct24276770320
97046257270
102734420176
111183566394
12643903100
13347678607
141bd232b4c
151100d3886
hexa2fbf0d0

2734420176 has 120 divisors (see below), whose sum is σ = 7903494144. Its totient is φ = 881867520.

The previous prime is 2734420163. The next prime is 2734420177. The reversal of 2734420176 is 6710244372.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2734420176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734420177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1016305 + ... + 1018991.

Almost surely, 22734420176 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 2734420176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951747072).

2734420176 is an abundant number, since it is smaller than the sum of its proper divisors (5169073968).

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

2734420176 is a wasteful number, since it uses less digits than its factorization.

2734420176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2734420176 is about 52291.6836217768. The cubic root of 2734420176 is about 1398.3688785714.

The spelling of 2734420176 in words is "two billion, seven hundred thirty-four million, four hundred twenty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 191 222 296 333 382 444 573 592 666 764 888 1146 1332 1528 1719 1776 2292 2664 2687 3056 3438 4584 5328 5374 6876 7067 8061 9168 10748 13752 14134 16122 21201 21496 24183 27504 28268 32244 42402 42992 48366 56536 63603 64488 84804 96732 99419 113072 127206 128976 169608 193464 198838 254412 298257 339216 386928 397676 508824 513217 596514 795352 894771 1017648 1026434 1193028 1539651 1590704 1789542 2052868 2386056 3079302 3579084 4105736 4618953 4772112 6158604 7158168 8211472 9237906 12317208 14316336 18475812 18989029 24634416 36951624 37978058 56967087 73903248 75956116 113934174 151912232 170901261 227868348 303824464 341802522 455736696 683605044 911473392 1367210088 2734420176