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38004034340 = 2252577393781
BaseRepresentation
bin100011011001001101…
…111000101100100100
310122002120021222100102
4203121031320230210
51110313013044330
625243034203232
72513526650636
oct433115705444
9118076258312
1038004034340
1115132317548
127447583518
1337786bb5ac
141ba7482a56
15ec666e945
hex8d9378b24

38004034340 has 24 divisors (see below), whose sum is σ = 80119021752. Its totient is φ = 15142461440.

The previous prime is 38004034307. The next prime is 38004034349. The reversal of 38004034340 is 4343040083.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21325345024 + 16678689316 = 146032^2 + 129146^2 .

It is a super-2 number, since 2×380040343402 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38004034349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3691751 + ... + 3702030.

It is an arithmetic number, because the mean of its divisors is an integer number (3338292573).

Almost surely, 238004034340 is an apocalyptic number.

It is an amenable number.

38004034340 is an abundant number, since it is smaller than the sum of its proper divisors (42114987412).

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

38004034340 is a wasteful number, since it uses less digits than its factorization.

38004034340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7394047 (or 7394045 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The spelling of 38004034340 in words is "thirty-eight billion, four million, thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 257 514 1028 1285 2570 5140 7393781 14787562 29575124 36968905 73937810 147875620 1900201717 3800403434 7600806868 9501008585 19002017170 38004034340