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3400053904 = 241341398693
BaseRepresentation
bin1100101010101000…
…1011010010010000
322202221210122010101
43022222023102100
523430403211104
61321214542144
7150153660412
oct31252132220
98687718111
103400053904
111495272905
127aa807954
13422544520
142437c29b2
1514d7685a4
hexcaa8b490

3400053904 has 40 divisors (see below), whose sum is σ = 7267394232. Its totient is φ = 1530977280.

The previous prime is 3400053887. The next prime is 3400053919. The reversal of 3400053904 is 4093500043.

It can be written as a sum of positive squares in 4 ways, for example, as 386043904 + 3014010000 = 19648^2 + 54900^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190819 + ... + 207874.

Almost surely, 23400053904 is an apocalyptic number.

It is an amenable number.

3400053904 is an abundant number, since it is smaller than the sum of its proper divisors (3867340328).

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

3400053904 is a wasteful number, since it uses less digits than its factorization.

3400053904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398755 (or 398749 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 3400053904 is about 58309.9811696077. The cubic root of 3400053904 is about 1503.7025427467.

Adding to 3400053904 its reverse (4093500043), we get a palindrome (7493553947).

The spelling of 3400053904 in words is "three billion, four hundred million, fifty-three thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 2132 4264 8528 398693 797386 1594772 3189544 5183009 6379088 10366018 16346413 20732036 32692826 41464072 65385652 82928144 130771304 212503369 261542608 425006738 850013476 1700026952 3400053904