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40522734 = 2337235979
BaseRepresentation
bin1001101010010…
…1001111101110
32211020202202000
42122211033232
540333211414
64004313130
71001303040
oct232451756
984222660
1040522734
112096836a
12116a27a6
13851a765
14554ba90
153856b09
hex26a53ee

40522734 has 128 divisors (see below), whose sum is σ = 110592000. Its totient is φ = 10749024.

The previous prime is 40522723. The next prime is 40522787. The reversal of 40522734 is 43722504.

40522734 is a `hidden beast` number, since 405 + 227 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40522698 and 40522707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 512907 + ... + 512985.

It is an arithmetic number, because the mean of its divisors is an integer number (864000).

Almost surely, 240522734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40522734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55296000).

40522734 is an abundant number, since it is smaller than the sum of its proper divisors (70069266).

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

40522734 is a wasteful number, since it uses less digits than its factorization.

40522734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 40522734 is about 6365.7469318219. The cubic root of 40522734 is about 343.4785173728.

It can be divided in two parts, 4052 and 2734, that added together give a triangular number (6786 = T116).

The spelling of 40522734 in words is "forty million, five hundred twenty-two thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 59 63 69 79 118 126 138 158 161 177 189 207 237 322 354 378 413 414 474 483 531 553 621 711 826 966 1062 1106 1239 1242 1357 1422 1449 1593 1659 1817 2133 2478 2714 2898 3186 3318 3634 3717 4071 4266 4347 4661 4977 5451 7434 8142 8694 9322 9499 9954 10902 11151 12213 12719 13983 14931 16353 18998 22302 24426 25438 27966 28497 29862 32627 32706 36639 38157 41949 49059 56994 65254 73278 76314 83898 85491 97881 98118 107203 114471 125847 170982 195762 214406 228942 251694 256473 293643 321609 343413 512946 587286 643218 686826 750421 880929 964827 1500842 1761858 1929654 2251263 2894481 4502526 5788962 6753789 13507578 20261367 40522734