Search a number
-
+
3450357000 = 2336534733
BaseRepresentation
bin1100110110101000…
…0100010100001000
322220110110022000000
43031222010110020
524031242411000
61330213043000
7151334356566
oct31552042410
98813408000
103450357000
111510700312
12803626460
1342caa787c
1424a358a36
15152da3000
hexcda84508

3450357000 has 224 divisors, whose sum is σ = 12107773080. Its totient is φ = 919900800.

The previous prime is 3450356971. The next prime is 3450357047. The reversal of 3450357000 is 7530543.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 516834756 + 2933522244 = 22734^2 + 54162^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 726634 + ... + 731366.

Almost surely, 23450357000 is an apocalyptic number.

3450357000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3450357000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6053886540).

3450357000 is an abundant number, since it is smaller than the sum of its proper divisors (8657416080).

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

3450357000 is an equidigital number, since it uses as much as digits as its factorization.

3450357000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4772 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 3450357000 is about 58739.7395295553. The cubic root of 3450357000 is about 1511.0819256586.

Adding to 3450357000 its reverse (7530543), we get a palindrome (3457887543).

The spelling of 3450357000 in words is "three billion, four hundred fifty million, three hundred fifty-seven thousand".