Search a number
-
+
3345652134 = 2331124123371
BaseRepresentation
bin1100011101101010…
…1001100110100110
322122011102201221000
43013122221212212
523322441332014
61311552534130
7145623400566
oct30732514646
98564381830
103345652134
111467595a70
12794551346
134141a7726
1423a4a0da6
15148abe509
hexc76a99a6

3345652134 has 64 divisors (see below), whose sum is σ = 8144674560. Its totient is φ = 1009584000.

The previous prime is 3345652129. The next prime is 3345652159. The reversal of 3345652134 is 4312565433.

It is a super-2 number, since 2×33456521342 = 22386776403477507912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131469 + ... + 154839.

It is an arithmetic number, because the mean of its divisors is an integer number (127260540).

Almost surely, 23345652134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3345652134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072337280).

3345652134 is an abundant number, since it is smaller than the sum of its proper divisors (4799022426).

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

3345652134 is a wasteful number, since it uses less digits than its factorization.

3345652134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23634 (or 23628 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 3345652134 is about 57841.6124775235. The cubic root of 3345652134 is about 1495.6395043347.

The spelling of 3345652134 in words is "three billion, three hundred forty-five million, six hundred fifty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 241 297 482 594 723 1446 2169 2651 4338 5302 6507 7953 13014 15906 23371 23859 46742 47718 70113 71577 140226 143154 210339 257081 420678 514162 631017 771243 1262034 1542486 2313729 4627458 5632411 6941187 11264822 13882374 16897233 33794466 50691699 61956521 101383398 123913042 152075097 185869563 304150194 371739126 557608689 1115217378 1672826067 3345652134