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3450021040 = 2451272411409
BaseRepresentation
bin1100110110100011…
…0010010010110000
322220102211020011001
43031220302102300
524031201133130
61330201531344
7151331460244
oct31550622260
98812736131
103450021040
1115104a0964
128034a3b54
1342c9ba98b
1424a2ac424
15152d386ca
hexcda324b0

3450021040 has 80 divisors (see below), whose sum is σ = 8123765760. Its totient is φ = 1362493440.

The previous prime is 3450021037. The next prime is 3450021049. The reversal of 3450021040 is 401200543.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3450020999 and 3450021017.

It is not an unprimeable number, because it can be changed into a prime (3450021049) 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, 2447856 + ... + 2449264.

It is an arithmetic number, because the mean of its divisors is an integer number (101547072).

Almost surely, 23450021040 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 3450021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061882880).

3450021040 is an abundant number, since it is smaller than the sum of its proper divisors (4673744720).

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

3450021040 is a wasteful number, since it uses less digits than its factorization.

3450021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 3450021040 is about 58736.8797264547. The cubic root of 3450021040 is about 1511.0328795684.

Adding to 3450021040 its reverse (401200543), we get a palindrome (3851221583).

The spelling of 3450021040 in words is "three billion, four hundred fifty million, twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 241 254 482 508 635 964 1016 1205 1270 1409 1928 2032 2410 2540 2818 3856 4820 5080 5636 7045 9640 10160 11272 14090 19280 22544 28180 30607 56360 61214 112720 122428 153035 178943 244856 306070 339569 357886 489712 612140 679138 715772 894715 1224280 1358276 1431544 1697845 1789430 2448560 2716552 2863088 3395690 3578860 5433104 6791380 7157720 13582760 14315440 27165520 43125263 86250526 172501052 215626315 345002104 431252630 690004208 862505260 1725010520 3450021040