Search a number
-
+
1074157434 = 2327371132039
BaseRepresentation
bin100000000000110…
…0101011101111010
32202212012211222200
41000001211131322
54144441014214
6254330531030
735422121220
oct10001453572
92685184880
101074157434
11501374419
1225b896a76
1314170311c
14a2932b10
156447dd09
hex4006577a

1074157434 has 96 divisors (see below), whose sum is σ = 2757231360. Its totient is φ = 295819776.

The previous prime is 1074157433. The next prime is 1074157453. The reversal of 1074157434 is 4347514701.

1074157434 is a `hidden beast` number, since 1 + 0 + 74 + 157 + 434 = 666.

It is not an unprimeable number, because it can be changed into a prime (1074157433) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 525787 + ... + 527825.

It is an arithmetic number, because the mean of its divisors is an integer number (28721160).

Almost surely, 21074157434 is an apocalyptic number.

1074157434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074157434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378615680).

1074157434 is an abundant number, since it is smaller than the sum of its proper divisors (1683073926).

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

1074157434 is a wasteful number, since it uses less digits than its factorization.

1074157434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 1074157434 is about 32774.3410917748. The cubic root of 1074157434 is about 1024.1321018183.

The spelling of 1074157434 in words is "one billion, seventy-four million, one hundred fifty-seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 113 126 222 226 259 333 339 518 666 678 777 791 1017 1554 1582 2034 2039 2331 2373 4078 4181 4662 4746 6117 7119 8362 12234 12543 14238 14273 18351 25086 28546 29267 36702 37629 42819 58534 75258 75443 85638 87801 128457 150886 175602 226329 230407 256914 263403 452658 460814 526806 528101 678987 691221 1056202 1357974 1382442 1584303 1612849 2073663 3168606 3225698 4147326 4752909 4838547 8525059 9505818 9677094 14515641 17050118 25575177 29031282 51150354 59675413 76725531 119350826 153451062 179026239 358052478 537078717 1074157434