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3427400761 = 37101917153
BaseRepresentation
bin1100110001001001…
…1111110000111001
322211212020222221221
43030102133300321
524004403311021
61324033032041
7150635266021
oct31422376071
98755228857
103427400761
1114a9750a14
127b79b5621
134280ca9b5
142472a0a81
15150d6b241
hexcc49fc39

3427400761 has 8 divisors (see below), whose sum is σ = 3554888904. Its totient is φ = 3301747200.

The previous prime is 3427400737. The next prime is 3427400789. The reversal of 3427400761 is 1670047243.

It can be written as a sum of positive squares in 4 ways, for example, as 1216614400 + 2210786361 = 34880^2 + 47019^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3427400761 - 213 = 3427392569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3427400731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454840 + ... + 462313.

It is an arithmetic number, because the mean of its divisors is an integer number (444361113).

Almost surely, 23427400761 is an apocalyptic number.

It is an amenable number.

3427400761 is a deficient number, since it is larger than the sum of its proper divisors (127488143).

3427400761 is a wasteful number, since it uses less digits than its factorization.

3427400761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917291.

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 3427400761 is about 58544.0070459821. The cubic root of 3427400761 is about 1507.7232418122.

The spelling of 3427400761 in words is "three billion, four hundred twenty-seven million, four hundred thousand, seven hundred sixty-one".

Divisors: 1 37 101 3737 917153 33934661 92632453 3427400761