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134349624 = 23332327043
BaseRepresentation
bin10000000001000…
…00001100111000
3100100210200001000
420000200030320
5233343141444
621155325000
73220644603
oct1000401470
9310720030
10134349624
1169922952
1238bb0760
1321aac526
1413bb333a
15bbdc469
hex8020338

134349624 has 64 divisors (see below), whose sum is σ = 389433600. Its totient is φ = 42834528.

The previous prime is 134349619. The next prime is 134349637. The reversal of 134349624 is 426943431.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8554 + ... + 18489.

It is an arithmetic number, because the mean of its divisors is an integer number (6084900).

Almost surely, 2134349624 is an apocalyptic number.

It is an amenable number.

134349624 is an abundant number, since it is smaller than the sum of its proper divisors (255083976).

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

134349624 is a wasteful number, since it uses less digits than its factorization.

134349624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27081 (or 27071 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 134349624 is about 11590.9285219088. The cubic root of 134349624 is about 512.1676595291.

The spelling of 134349624 in words is "one hundred thirty-four million, three hundred forty-nine thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 27043 54086 81129 108172 162258 216344 243387 324516 486774 621989 649032 730161 973548 1243978 1460322 1865967 1947096 2487956 2920644 3731934 4975912 5597901 5841288 7463868 11195802 14927736 16793703 22391604 33587406 44783208 67174812 134349624