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272428434 = 23417313191
BaseRepresentation
bin10000001111001…
…110110110010010
3200222121210120000
4100033032312102
51024220202214
643011030430
76515413665
oct2017166622
9628553500
10272428434
1112a862573
127729b416
1344596275
14282776dc
1518db4809
hex103ced92

272428434 has 80 divisors (see below), whose sum is σ = 667408896. Its totient is φ = 82684800.

The previous prime is 272428433. The next prime is 272428439. The reversal of 272428434 is 434824272.

It is not an unprimeable number, because it can be changed into a prime (272428433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83779 + ... + 86969.

Almost surely, 2272428434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272428434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333704448).

272428434 is an abundant number, since it is smaller than the sum of its proper divisors (394980462).

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

272428434 is a wasteful number, since it uses less digits than its factorization.

272428434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3244 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 272428434 is about 16505.4062052408. The cubic root of 272428434 is about 648.2623680356.

The spelling of 272428434 in words is "two hundred seventy-two million, four hundred twenty-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 81 93 102 153 162 186 279 306 459 527 558 837 918 1054 1377 1581 1674 2511 2754 3162 3191 4743 5022 6382 9486 9573 14229 19146 28458 28719 42687 54247 57438 85374 86157 98921 108494 162741 172314 197842 258471 296763 325482 488223 516942 593526 890289 976446 1464669 1681657 1780578 2670867 2929338 3363314 4394007 5044971 5341734 8012601 8788014 10089942 15134913 16025202 30269826 45404739 90809478 136214217 272428434