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240010343034 = 237211216634057
BaseRepresentation
bin1101111110000110111…
…0110011001001111010
3211221111201210200222020
43133201232303021322
512413020121434114
6302131554335310
723224452153300
oct3374156631172
9757451720866
10240010343034
1192873644100
123a622b8a536
131982c583477
14b88bbc2270
15639ad00aa9
hex37e1bb327a

240010343034 has 144 divisors (see below), whose sum is σ = 614289521664. Its totient is φ = 62287505280.

The previous prime is 240010343017. The next prime is 240010343059. The reversal of 240010343034 is 430343010042.

It is a junction number, because it is equal to n+sod(n) for n = 240010342995 and 240010343013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59157534 + ... + 59161590.

It is an arithmetic number, because the mean of its divisors is an integer number (4265899456).

Almost surely, 2240010343034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240010343034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307144760832).

240010343034 is an abundant number, since it is smaller than the sum of its proper divisors (374279178630).

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

240010343034 is a wasteful number, since it uses less digits than its factorization.

240010343034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 240010343034 its reverse (430343010042), we get a palindrome (670353353076).

The spelling of 240010343034 in words is "two hundred forty billion, ten million, three hundred forty-three thousand, thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 121 147 154 231 242 294 363 462 539 726 847 1078 1617 1663 1694 2541 3234 3326 4057 4989 5082 5929 8114 9978 11641 11858 12171 17787 18293 23282 24342 28399 34923 35574 36586 44627 54879 56798 69846 81487 85197 89254 109758 128051 133881 162974 170394 198793 201223 244461 256102 267762 312389 384153 397586 402446 488922 490897 596379 603669 624778 768306 896357 937167 981794 1192758 1207338 1408561 1472691 1792714 1874334 2186723 2689071 2817122 2945382 3436279 4225683 4373446 5378142 6560169 6746791 6872558 8451366 9859927 10308837 13120338 13493582 19719854 20240373 20617674 24053953 29579781 40480746 47227537 48107906 59159562 72161859 74214701 94455074 141682611 144323718 148429402 222644103 283365222 330592759 445288206 519502907 661185518 816361711 991778277 1039005814 1558508721 1632723422 1983556554 2449085133 3117017442 3636520349 4898170266 5714531977 7273040698 10909561047 11429063954 17143595931 21819122094 34287191862 40001723839 80003447678 120005171517 240010343034