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3454421200 = 245218147713
BaseRepresentation
bin1100110111100110…
…0100100011010000
322220202002210000221
43031321210203100
524033312434300
61330440122424
7151414044556
oct31571444320
98822083027
103454421200
111512a2685a
12804a66414
1343089b719
1424aad5bd6
1515340731a
hexcde648d0

3454421200 has 60 divisors (see below), whose sum is σ = 8345274028. Its totient is φ = 1374105600.

The previous prime is 3454421167. The next prime is 3454421203. The reversal of 3454421200 is 21244543.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1486256704 + 1968164496 = 38552^2 + 44364^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454421203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48544 + ... + 96256.

Almost surely, 23454421200 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 3454421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172637014).

3454421200 is an abundant number, since it is smaller than the sum of its proper divisors (4890852828).

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

3454421200 is a wasteful number, since it uses less digits than its factorization.

3454421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47912 (or 47901 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 3454421200 is about 58774.3243261886. The cubic root of 3454421200 is about 1511.6749975668.

Adding to 3454421200 its reverse (21244543), we get a palindrome (3475665743).

The spelling of 3454421200 in words is "three billion, four hundred fifty-four million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 181 200 362 400 724 905 1448 1810 2896 3620 4525 7240 9050 14480 18100 36200 47713 72400 95426 190852 238565 381704 477130 763408 954260 1192825 1908520 2385650 3817040 4771300 8636053 9542600 17272106 19085200 34544212 43180265 69088424 86360530 138176848 172721060 215901325 345442120 431802650 690884240 863605300 1727210600 3454421200