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3401223144 = 2331161321017
BaseRepresentation
bin1100101010111010…
…1000101111101000
322210001000001000120
43022232220233220
523431203120034
61321300003240
7150166630314
oct31256505750
98701001016
103401223144
1114959a1320
127ab090520
13422863797
14243a08b44
1514d8e9c49
hexcaba8be8

3401223144 has 64 divisors (see below), whose sum is σ = 9291637440. Its totient is φ = 1028943360.

The previous prime is 3401223011. The next prime is 3401223181. The reversal of 3401223144 is 4413221043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 151324 + ... + 172340.

It is an arithmetic number, because the mean of its divisors is an integer number (145181835).

Almost surely, 23401223144 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 3401223144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645818720).

3401223144 is an abundant number, since it is smaller than the sum of its proper divisors (5890414296).

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

3401223144 is a wasteful number, since it uses less digits than its factorization.

3401223144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21650 (or 21646 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3401223144 is about 58320.0063786005. The cubic root of 3401223144 is about 1503.8748917455.

Adding to 3401223144 its reverse (4413221043), we get a palindrome (7814444187).

The spelling of 3401223144 in words is "three billion, four hundred one million, two hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 613 1226 1839 2452 3678 4904 6743 7356 13486 14712 20229 21017 26972 40458 42034 53944 63051 80916 84068 126102 161832 168136 231187 252204 462374 504408 693561 924748 1387122 1849496 2774244 5548488 12883421 25766842 38650263 51533684 77300526 103067368 141717631 154601052 283435262 309202104 425152893 566870524 850305786 1133741048 1700611572 3401223144