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140034024 = 23321341289
BaseRepresentation
bin10000101100010…
…11111111101000
3100202111110120100
420112023333220
5241322042044
621521225400
73320161314
oct1026137750
9322443510
10140034024
11720556a9
123aa92260
132301c990
1414852b44
15c461869
hex858bfe8

140034024 has 144 divisors (see below), whose sum is σ = 423341100. Its totient is φ = 41564160.

The previous prime is 140034023. The next prime is 140034029. The reversal of 140034024 is 420430041.

It can be written as a sum of positive squares in 6 ways, for example, as 2722500 + 137311524 = 1650^2 + 11718^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140033988 and 140034006.

It is not an unprimeable number, because it can be changed into a prime (140034023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1573372 + ... + 1573460.

Almost surely, 2140034024 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 140034024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211670550).

140034024 is an abundant number, since it is smaller than the sum of its proper divisors (283307076).

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

140034024 is a wasteful number, since it uses less digits than its factorization.

140034024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 140034024 is about 11833.5972552728. The cubic root of 140034024 is about 519.2914709254.

Adding to 140034024 its reverse (420430041), we get a palindrome (560464065).

The spelling of 140034024 in words is "one hundred forty million, thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 41 52 72 78 82 89 104 117 123 156 164 178 234 246 267 312 328 356 369 468 492 533 534 712 738 801 936 984 1066 1068 1157 1476 1599 1602 1681 2132 2136 2314 2952 3198 3204 3362 3471 3649 4264 4628 4797 5043 6396 6408 6724 6942 7298 9256 9594 10086 10413 10947 12792 13448 13884 14596 15129 19188 20172 20826 21853 21894 27768 29192 30258 32841 38376 40344 41652 43706 43788 47437 60516 65559 65682 83304 87412 87576 94874 121032 131118 131364 142311 149609 174824 189748 196677 262236 262728 284622 299218 379496 393354 426933 448827 524472 569244 598436 786708 853866 897654 1138488 1196872 1346481 1573416 1707732 1795308 1944917 2692962 3415464 3590616 3889834 5385924 5834751 7779668 10771848 11669502 15559336 17504253 23339004 35008506 46678008 70017012 140034024