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37010034 = 234228457
BaseRepresentation
bin1000110100101…
…1101001110010
32120122022020000
42031023221302
533433310114
63401130430
7626402655
oct215135162
976568200
1037010034
1119989206
1210489a16
13788a939
144cb589c
1533b0e09
hex234ba72

37010034 has 20 divisors (see below), whose sum is σ = 82930254. Its totient is φ = 12336624.

The previous prime is 37010023. The next prime is 37010047. The reversal of 37010034 is 43001073.

37010034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 34751025 + 2259009 = 5895^2 + 1503^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 37009989 and 37010016.

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 9 ways as a sum of consecutive naturals, for example, 114067 + ... + 114390.

Almost surely, 237010034 is an apocalyptic number.

37010034 is an abundant number, since it is smaller than the sum of its proper divisors (45920220).

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

37010034 is a wasteful number, since it uses less digits than its factorization.

37010034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228471 (or 228462 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 37010034 is about 6083.5872641066. The cubic root of 37010034 is about 333.2523045268.

It can be divided in two parts, 370 and 10034, that added together give a square (10404 = 1022).

The spelling of 37010034 in words is "thirty-seven million, ten thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 228457 456914 685371 1370742 2056113 4112226 6168339 12336678 18505017 37010034