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40734408 = 23311213283
BaseRepresentation
bin1001101101100…
…0111011001000
32211122112002210
42123120323020
540412000113
64013025120
71003144131
oct233307310
984575083
1040734408
1120aa2400
12117851a0
138592c00
1455a4c88
1538996c3
hex26d8ec8

40734408 has 144 divisors (see below), whose sum is σ = 122668560. Its totient is φ = 11256960.

The previous prime is 40734391. The next prime is 40734427. The reversal of 40734408 is 80443704.

40734408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×407344082 = 3318583990220928, which contains 22 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 490735 + ... + 490817.

It is an arithmetic number, because the mean of its divisors is an integer number (851865).

Almost surely, 240734408 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 40734408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61334280).

40734408 is an abundant number, since it is smaller than the sum of its proper divisors (81934152).

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

40734408 is a wasteful number, since it uses less digits than its factorization.

40734408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 40734408 is about 6382.3512908645. The cubic root of 40734408 is about 344.0755422704.

The spelling of 40734408 in words is "forty million, seven hundred thirty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 83 88 104 121 132 143 156 166 169 242 249 264 286 312 332 338 363 429 484 498 507 572 664 676 726 858 913 968 996 1014 1079 1144 1352 1452 1573 1716 1826 1859 1992 2028 2158 2739 2904 3146 3237 3432 3652 3718 4056 4316 4719 5478 5577 6292 6474 7304 7436 8632 9438 10043 10956 11154 11869 12584 12948 14027 14872 18876 20086 20449 21912 22308 23738 25896 28054 30129 35607 37752 40172 40898 42081 44616 47476 56108 60258 61347 71214 80344 81796 84162 94952 112216 120516 122694 130559 142428 154297 163592 168324 241032 245388 261118 284856 308594 336648 391677 462891 490776 522236 617188 783354 925782 1044472 1234376 1566708 1697267 1851564 3133416 3394534 3703128 5091801 6789068 10183602 13578136 20367204 40734408