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3638034 = 234171321
BaseRepresentation
bin1101111000001100010010
320211211110000
431320030102
51412404114
6205550430
742631341
oct15701422
96754400
103638034
112065344
121275416
139a4baa
146a9b58
154bce09
hex378312

3638034 has 40 divisors (see below), whose sum is σ = 8637948. Its totient is φ = 1140480.

The previous prime is 3638027. The next prime is 3638039. The reversal of 3638034 is 4308363.

It can be written as a sum of positive squares in 2 ways, for example, as 3080025 + 558009 = 1755^2 + 747^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3637989 and 3638007.

It is not an unprimeable number, because it can be changed into a prime (3638039) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2094 + ... + 3414.

Almost surely, 23638034 is an apocalyptic number.

3638034 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3638034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318974).

3638034 is an abundant number, since it is smaller than the sum of its proper divisors (4999914).

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

3638034 is a wasteful number, since it uses less digits than its factorization.

3638034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3638034 is about 1907.3631012474. The cubic root of 3638034 is about 153.7997340593.

The spelling of 3638034 in words is "three million, six hundred thirty-eight thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1321 1377 2642 2754 3963 7926 11889 22457 23778 35667 44914 67371 71334 107001 134742 202113 214002 404226 606339 1212678 1819017 3638034