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34334125640 = 23531205313487
BaseRepresentation
bin11111111110011110…
…010010111001001000
310021121210201022000222
4133332132102321020
51030304014010030
623434535245212
72323555152443
oct377636227110
9107553638028
1034334125640
111361979a851
1267a2519808
1333122a2399
141939cd665a
15d5e39e3e5
hex7fe792e48

34334125640 has 64 divisors (see below), whose sum is σ = 79788533760. Its totient is φ = 13283170560.

The previous prime is 34334125613. The next prime is 34334125649. The reversal of 34334125640 is 4652143343.

It is a self number, because there is not a number n which added to its sum of digits gives 34334125640.

It is not an unprimeable number, because it can be changed into a prime (34334125649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2538977 + ... + 2552463.

It is an arithmetic number, because the mean of its divisors is an integer number (1246695840).

Almost surely, 234334125640 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 34334125640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39894266880).

34334125640 is an abundant number, since it is smaller than the sum of its proper divisors (45454408120).

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

34334125640 is a wasteful number, since it uses less digits than its factorization.

34334125640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15582 (or 15578 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 34334125640 its reverse (4652143343), we get a palindrome (38986268983).

The spelling of 34334125640 in words is "thirty-four billion, three hundred thirty-four million, one hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 2053 4106 8212 10265 13487 16424 20530 26974 41060 53948 63643 67435 82120 107896 127286 134870 254572 269740 318215 418097 509144 539480 636430 836194 1272860 1672388 2090485 2545720 3344776 4180970 8361940 16723880 27688811 55377622 110755244 138444055 221510488 276888110 553776220 858353141 1107552440 1716706282 3433412564 4291765705 6866825128 8583531410 17167062820 34334125640