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144367434 = 23417193189
BaseRepresentation
bin10001001101011…
…01111101001010
3101001122121220000
420212231331022
5243424224214
622154143430
73402050211
oct1046557512
9331577800
10144367434
1174545432
1240421b76
1323ba9223
1415260078
15ca1a809
hex89adf4a

144367434 has 160 divisors (see below), whose sum is σ = 376358400. Its totient is φ = 41057280.

The previous prime is 144367429. The next prime is 144367439. The reversal of 144367434 is 434763441.

It is an interprime number because it is at equal distance from previous prime (144367429) and next prime (144367439).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144367439) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1622062 + ... + 1622150.

It is an arithmetic number, because the mean of its divisors is an integer number (2352240).

Almost surely, 2144367434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144367434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188179200).

144367434 is an abundant number, since it is smaller than the sum of its proper divisors (231990966).

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

144367434 is a wasteful number, since it uses less digits than its factorization.

144367434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 144367434 is about 12015.2999962548. The cubic root of 144367434 is about 524.5937101491.

The spelling of 144367434 in words is "one hundred forty-four million, three hundred sixty-seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 19 27 31 34 38 51 54 57 62 81 89 93 102 114 153 162 171 178 186 267 279 306 323 342 459 513 527 534 558 589 646 801 837 918 969 1026 1054 1178 1377 1513 1539 1581 1602 1674 1691 1767 1938 2403 2511 2754 2759 2907 3026 3078 3162 3382 3534 4539 4743 4806 5022 5073 5301 5518 5814 7209 8277 8721 9078 9486 10013 10146 10602 13617 14229 14418 15219 15903 16554 17442 20026 24831 26163 27234 28458 28747 30039 30438 31806 40851 42687 45657 46903 47709 49662 52326 52421 57494 60078 74493 81702 85374 86241 90117 91314 93806 95418 104842 122553 136971 140709 148986 157263 172482 180234 223479 245106 258723 270351 273942 281418 314526 422127 446958 471789 517446 540702 776169 811053 844254 891157 943578 1266381 1415367 1552338 1622106 1782314 2328507 2532762 2673471 2830734 3799143 4246101 4657014 5346942 7598286 8020413 8492202 16040826 24061239 48122478 72183717 144367434