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145234008 = 23323122099
BaseRepresentation
bin10001010100000…
…01100001011000
3101010021122121100
420222001201120
5244134442013
622224511400
73412316523
oct1052014130
9333248540
10145234008
1174a87507
124077b560
13241207aa
1415407bba
15cb3c473
hex8a81858

145234008 has 72 divisors (see below), whose sum is σ = 406633500. Its totient is φ = 46827360.

The previous prime is 145234003. The next prime is 145234051. The reversal of 145234008 is 800432541.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145234003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68143 + ... + 70241.

Almost surely, 2145234008 is an apocalyptic number.

145234008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145234008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203316750).

145234008 is an abundant number, since it is smaller than the sum of its proper divisors (261399492).

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

145234008 is a wasteful number, since it uses less digits than its factorization.

145234008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 145234008 is about 12051.3073149762. The cubic root of 145234008 is about 525.6412518098.

Adding to 145234008 its reverse (800432541), we get a palindrome (945666549).

The spelling of 145234008 in words is "one hundred forty-five million, two hundred thirty-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 961 1116 1922 2099 2232 2883 3844 4198 5766 6297 7688 8396 8649 11532 12594 16792 17298 18891 23064 25188 34596 37782 50376 65069 69192 75564 130138 151128 195207 260276 390414 520552 585621 780828 1171242 1561656 2017139 2342484 4034278 4684968 6051417 8068556 12102834 16137112 18154251 24205668 36308502 48411336 72617004 145234008