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3400673373 = 32416722053
BaseRepresentation
bin1100101010110010…
…0010100001011101
322202222222002212200
43022230202201131
523431033021443
61321240122113
7150162150426
oct31254424135
98688862780
103400673373
111495656269
127aaa66339
13422700486
1424390464d
1514d83bdd3
hexcab2285d

3400673373 has 36 divisors (see below), whose sum is σ = 5110602588. Its totient is φ = 2177746560.

The previous prime is 3400673369. The next prime is 3400673411. The reversal of 3400673373 is 3733760043.

It can be written as a sum of positive squares in 2 ways, for example, as 814645764 + 2586027609 = 28542^2 + 50853^2 .

It is not a de Polignac number, because 3400673373 - 22 = 3400673369 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400673363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1655415 + ... + 1657467.

It is an arithmetic number, because the mean of its divisors is an integer number (141961183).

Almost surely, 23400673373 is an apocalyptic number.

It is an amenable number.

3400673373 is a deficient number, since it is larger than the sum of its proper divisors (1709929215).

3400673373 is a wasteful number, since it uses less digits than its factorization.

3400673373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 36.

The square root of 3400673373 is about 58315.2927884273. The cubic root of 3400673373 is about 1503.7938589994.

The spelling of 3400673373 in words is "three billion, four hundred million, six hundred seventy-three thousand, three hundred seventy-three".

Divisors: 1 3 9 41 67 123 201 369 603 2053 2747 4489 6159 8241 13467 18477 24723 40401 84173 137551 184049 252519 412653 552147 757557 1237959 1656441 5639591 9215917 16918773 27647751 50756319 82943253 377852597 1133557791 3400673373