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3454250000 = 245641337
BaseRepresentation
bin1100110111100011…
…1010110000010000
322220201210002012012
43031320322300100
524033242000000
61330432322052
7151412432465
oct31570726020
98821702165
103454250000
11151291a173
128049a3328
1343083b816
1424aa8d66c
151533c1735
hexcde3ac10

3454250000 has 140 divisors (see below), whose sum is σ = 8595124356. Its totient is φ = 1344000000.

The previous prime is 3454249937. The next prime is 3454250021. The reversal of 3454250000 is 524543.

It can be written as a sum of positive squares in 14 ways, for example, as 1582130176 + 1872119824 = 39776^2 + 43268^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10249832 + ... + 10250168.

Almost surely, 23454250000 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 3454250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297562178).

3454250000 is an abundant number, since it is smaller than the sum of its proper divisors (5140874356).

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

3454250000 is an frugal number, since it uses more digits than its factorization.

3454250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 3454250000 is about 58772.8678898690. The cubic root of 3454250000 is about 1511.6500244459.

Adding to 3454250000 its reverse (524543), we get a palindrome (3454774543).

The spelling of 3454250000 in words is "three billion, four hundred fifty-four million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 337 400 410 500 625 656 674 820 1000 1025 1250 1348 1640 1685 2000 2050 2500 2696 3125 3280 3370 4100 5000 5125 5392 6250 6740 8200 8425 10000 10250 12500 13480 13817 15625 16400 16850 20500 25000 25625 26960 27634 31250 33700 41000 42125 50000 51250 55268 62500 67400 69085 82000 84250 102500 110536 125000 128125 134800 138170 168500 205000 210625 221072 250000 256250 276340 337000 345425 410000 421250 512500 552680 640625 674000 690850 842500 1025000 1053125 1105360 1281250 1381700 1685000 1727125 2050000 2106250 2562500 2763400 3370000 3454250 4212500 5125000 5265625 5526800 6908500 8425000 8635625 10250000 10531250 13817000 16850000 17271250 21062500 27634000 34542500 42125000 43178125 69085000 84250000 86356250 138170000 172712500 215890625 345425000 431781250 690850000 863562500 1727125000 3454250000