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3495312744 = 23371117313797
BaseRepresentation
bin1101000001010110…
…0011110101101000
3100000121001021200120
43100111203311220
524124300001434
61334500403240
7152421445110
oct32025436550
910017037616
103495312744
111534016220
128166a6520
134391b7cc1
142522dc040
15156cd3349
hexd0563d68

3495312744 has 512 divisors, whose sum is σ = 12355338240. Its totient is φ = 796262400.

The previous prime is 3495312739. The next prime is 3495312763. The reversal of 3495312744 is 4472135943.

It is a happy number.

It is a super-2 number, since 2×34953127442 = 24434422356737619072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3495312696 and 3495312705.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36034104 + ... + 36034200.

It is an arithmetic number, because the mean of its divisors is an integer number (24131520).

Almost surely, 23495312744 is an apocalyptic number.

3495312744 is a gapful number since it is divisible by the number (34) 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 3495312744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177669120).

3495312744 is an abundant number, since it is smaller than the sum of its proper divisors (8860025496).

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

3495312744 is a wasteful number, since it uses less digits than its factorization.

3495312744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 3495312744 is about 59121.1700154860. The cubic root of 3495312744 is about 1517.6164083942.

The spelling of 3495312744 in words is "three billion, four hundred ninety-five million, three hundred twelve thousand, seven hundred forty-four".