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3400738781 = 1131101293337
BaseRepresentation
bin1100101010110011…
…0010011111011101
322210000002102121012
43022230302133131
523431042120111
61321241345005
7150162542216
oct31254623735
98700072535
103400738781
1114956a0420
127aaa98165
1342272418b
1424392040d
1514d85148b
hexcab327dd

3400738781 has 32 divisors (see below), whose sum is σ = 3892202496. Its totient is φ = 2943360000.

The previous prime is 3400738777. The next prime is 3400738793. The reversal of 3400738781 is 1878370043.

It is a cyclic number.

It is not a de Polignac number, because 3400738781 - 22 = 3400738777 is a prime.

It is a super-2 number, since 2×34007387812 = 23130048513194731922, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400738771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10091045 + ... + 10091381.

It is an arithmetic number, because the mean of its divisors is an integer number (121631328).

Almost surely, 23400738781 is an apocalyptic number.

3400738781 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3400738781 is a deficient number, since it is larger than the sum of its proper divisors (491463715).

3400738781 is a wasteful number, since it uses less digits than its factorization.

3400738781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773.

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 3400738781 is about 58315.8535991715. The cubic root of 3400738781 is about 1503.8035001800.

The spelling of 3400738781 in words is "three billion, four hundred million, seven hundred thirty-eight thousand, seven hundred eighty-one".

Divisors: 1 11 31 101 293 337 341 1111 3131 3223 3707 9083 10447 29593 34037 34441 98741 99913 114917 325523 374407 917383 1055147 1086151 3060971 9972841 10091213 11606617 33670681 109701251 309158071 3400738781