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3427801740 = 223651122967
BaseRepresentation
bin1100110001010000…
…0001101010001100
322211220000101000000
43030110001222030
524010004123430
61324045404300
7150641556036
oct31424015214
98756011000
103427801740
1114a99a5200
127b7b69690
1342820b36c
14247366c56
15150de9e60
hexcc501a8c

3427801740 has 504 divisors, whose sum is σ = 12455215920. Its totient is φ = 790352640.

The previous prime is 3427801739. The next prime is 3427801747. The reversal of 3427801740 is 471087243.

It is a happy number.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 3427801695 and 3427801704.

It is not an unprimeable number, because it can be changed into a prime (3427801747) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 51161187 + ... + 51161253.

It is an arithmetic number, because the mean of its divisors is an integer number (24712730).

Almost surely, 23427801740 is an apocalyptic number.

3427801740 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 3427801740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227607960).

3427801740 is an abundant number, since it is smaller than the sum of its proper divisors (9027414180).

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

3427801740 is a wasteful number, since it uses less digits than its factorization.

3427801740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3427801740 is about 58547.4315405894. The cubic root of 3427801740 is about 1507.7820367829.

Adding to 3427801740 its reverse (471087243), we get a palindrome (3898888983).

The spelling of 3427801740 in words is "three billion, four hundred twenty-seven million, eight hundred one thousand, seven hundred forty".