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296842434 = 2371929101127
BaseRepresentation
bin10001101100010…
…111010011000010
3202200120011021020
4101230113103002
51101442424214
645242210310
710233055560
oct2154272302
9680504236
10296842434
11142618129
12834b3996
1349663815
142b5d0a30
151b0d84a9
hex11b174c2

296842434 has 128 divisors (see below), whose sum is σ = 752025600. Its totient is φ = 76204800.

The previous prime is 296842433. The next prime is 296842471. The reversal of 296842434 is 434248692.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (331776) is a multiple of the sum of its prime divisors (288).

It is not an unprimeable number, because it can be changed into a prime (296842433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2337279 + ... + 2337405.

It is an arithmetic number, because the mean of its divisors is an integer number (5875200).

Almost surely, 2296842434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296842434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376012800).

296842434 is an abundant number, since it is smaller than the sum of its proper divisors (455183166).

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

296842434 is a wasteful number, since it uses less digits than its factorization.

296842434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288.

The product of its digits is 331776, while the sum is 42.

The square root of 296842434 is about 17229.1158798123. The cubic root of 296842434 is about 667.0760185396.

The spelling of 296842434 in words is "two hundred ninety-six million, eight hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 57 58 87 101 114 127 133 174 202 203 254 266 303 381 399 406 551 606 609 707 762 798 889 1102 1218 1414 1653 1778 1919 2121 2413 2667 2929 3306 3683 3838 3857 4242 4826 5334 5757 5858 7239 7366 7714 8787 11049 11514 11571 12827 13433 14478 16891 17574 20503 22098 23142 25654 25781 26866 33782 38481 40299 41006 50673 51562 55651 61509 69977 76962 77343 80598 89789 101346 111302 123018 139954 154686 166953 179578 209931 243713 269367 333906 371983 389557 419862 487426 489839 538734 731139 743966 779114 979678 1115949 1168671 1462278 1469517 1705991 2231898 2337342 2603881 2939034 3411982 5117973 5207762 7067677 7811643 10235946 14135354 15623286 21203031 42406062 49473739 98947478 148421217 296842434