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3401349696 = 26325905121
BaseRepresentation
bin1100101010111100…
…0111101001000000
322210001020110121200
43022233013221000
523431221142241
61321302421200
7150200665263
oct31257075100
98701213550
103401349696
111495a78408
127ab131800
134228a9274
14243a3ccda
1514d9224b6
hexcabc7a40

3401349696 has 42 divisors (see below), whose sum is σ = 9749356422. Its totient is φ = 1133783040.

The previous prime is 3401349649. The next prime is 3401349697. The reversal of 3401349696 is 6969431043.

3401349696 is a `hidden beast` number, since 340 + 134 + 96 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2444313600 + 957036096 = 49440^2 + 30936^2 .

It is not an unprimeable number, because it can be changed into a prime (3401349697) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2951985 + ... + 2953136.

Almost surely, 23401349696 is an apocalyptic number.

3401349696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3401349696 is an abundant number, since it is smaller than the sum of its proper divisors (6348006726).

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

3401349696 is a wasteful number, since it uses less digits than its factorization.

3401349696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5905139 (or 5905126 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3401349696 is about 58321.0913478134. The cubic root of 3401349696 is about 1503.8935434684.

The spelling of 3401349696 in words is "three billion, four hundred one million, three hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 5905121 11810242 17715363 23620484 35430726 47240968 53146089 70861452 94481936 106292178 141722904 188963872 212584356 283445808 377927744 425168712 566891616 850337424 1133783232 1700674848 3401349696