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34297263 = 367111347
BaseRepresentation
bin1000001011010…
…1010110101111
32101112111000000
42002311112233
532240003023
63223035343
7564344010
oct202652657
971474000
1034297263
11183a6050
12b59bb53
13714ac50
1447ab007
153027243
hex20b55af

34297263 has 112 divisors (see below), whose sum is σ = 70511616. Its totient is φ = 16096320.

The previous prime is 34297259. The next prime is 34297271. The reversal of 34297263 is 36279243.

It is a happy number.

It is not a de Polignac number, because 34297263 - 22 = 34297259 is a prime.

Its product of digits (54432) is a multiple of the sum of its prime divisors (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34297213) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 729706 + ... + 729752.

It is an arithmetic number, because the mean of its divisors is an integer number (629568).

Almost surely, 234297263 is an apocalyptic number.

34297263 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34297263 is an abundant number, since it is smaller than the sum of its proper divisors (36214353).

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

34297263 is a wasteful number, since it uses less digits than its factorization.

34297263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 34297263 is about 5856.3865138838. The cubic root of 34297263 is about 324.9025759267.

The spelling of 34297263 in words is "thirty-four million, two hundred ninety-seven thousand, two hundred sixty-three".

Divisors: 1 3 7 9 11 13 21 27 33 39 47 63 77 81 91 99 117 141 143 189 231 243 273 297 329 351 423 429 517 567 611 693 729 819 891 987 1001 1053 1269 1287 1551 1701 1833 2079 2457 2673 2961 3003 3159 3619 3807 3861 4277 4653 5103 5499 6237 6721 7371 8019 8883 9009 9477 10857 11421 11583 12831 13959 16497 18711 20163 22113 26649 27027 32571 34263 34749 38493 41877 47047 49491 56133 60489 66339 79947 81081 97713 104247 115479 125631 141141 148473 181467 239841 243243 293139 346437 376893 423423 445419 544401 729729 879417 1039311 1270269 1633203 2638251 3117933 3810807 4899609 11432421 34297263