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4344001040 = 245434872593
BaseRepresentation
bin1000000101110110…
…00011001000010000
3102012202000010011102
410002323003020100
532344031013130
61555015003532
7212435254031
oct40273031020
912182003142
104344001040
11192a091305
12a129695a8
13542c87222
142d2cdca88
151a6576645
hex102ec3210

4344001040 has 80 divisors (see below), whose sum is σ = 10359896448. Its totient is φ = 1693052928.

The previous prime is 4344001033. The next prime is 4344001043. The reversal of 4344001040 is 401004434.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4344001043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1673984 + ... + 1676576.

Almost surely, 24344001040 is an apocalyptic number.

4344001040 is a gapful number since it is divisible by the number (40) 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 4344001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179948224).

4344001040 is an abundant number, since it is smaller than the sum of its proper divisors (6015895408).

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

4344001040 is a wasteful number, since it uses less digits than its factorization.

4344001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4344001040 is about 65909.0361027985. The cubic root of 4344001040 is about 1631.6611516966.

Adding to 4344001040 its reverse (401004434), we get a palindrome (4745005474).

The spelling of 4344001040 in words is "four billion, three hundred forty-four million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 487 688 860 974 1720 1948 2435 2593 3440 3896 4870 5186 7792 9740 10372 12965 19480 20744 20941 25930 38960 41488 41882 51860 83764 103720 104705 111499 167528 207440 209410 222998 335056 418820 445996 557495 837640 891992 1114990 1262791 1675280 1783984 2229980 2525582 4459960 5051164 6313955 8919920 10102328 12627910 20204656 25255820 50511640 54300013 101023280 108600026 217200052 271500065 434400104 543000130 868800208 1086000260 2172000520 4344001040