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3400141344 = 25337957247
BaseRepresentation
bin1100101010101010…
…0000101000100000
322202221222002001220
43022222200220200
523430414010334
61321220455040
7150154503345
oct31252405040
98687862056
103400141344
111495322576
127aa84a480
13422575272
142438067cc
1514d784449
hexcaaa0a20

3400141344 has 48 divisors (see below), whose sum is σ = 9166606848. Its totient is φ = 1102747392.

The previous prime is 3400141319. The next prime is 3400141363. The reversal of 3400141344 is 4431410043.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×34001413442 = 23121922318356252672, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 475072 + ... + 482175.

It is an arithmetic number, because the mean of its divisors is an integer number (190970976).

Almost surely, 23400141344 is an apocalyptic number.

It is an amenable number.

3400141344 is an abundant number, since it is smaller than the sum of its proper divisors (5766465504).

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

3400141344 is a wasteful number, since it uses less digits than its factorization.

3400141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957297 (or 957289 counting only the distinct ones).

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

The square root of 3400141344 is about 58310.7309506578. The cubic root of 3400141344 is about 1503.7154329956.

Adding to 3400141344 its reverse (4431410043), we get a palindrome (7831551387).

The spelling of 3400141344 in words is "three billion, four hundred million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 957247 1914494 2871741 3828988 5743482 7657976 11486964 15315952 22973928 30631904 35418139 45947856 70836278 91895712 106254417 141672556 212508834 283345112 425017668 566690224 850035336 1133380448 1700070672 3400141344