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39343668 = 22372135147
BaseRepresentation
bin1001011000010…
…1011000110100
32202000212100220
42112011120310
540032444133
63523134340
7655262400
oct226053064
982025326
1039343668
1120232531
12112143b0
1381c6ba0
145322100
1536c25b3
hex2585634

39343668 has 72 divisors (see below), whose sum is σ = 115026912. Its totient is φ = 10374336.

The previous prime is 39343657. The next prime is 39343669. The reversal of 39343668 is 86634393.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39343669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5071 + ... + 10217.

It is an arithmetic number, because the mean of its divisors is an integer number (1597596).

Almost surely, 239343668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39343668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57513456).

39343668 is an abundant number, since it is smaller than the sum of its proper divisors (75683244).

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

39343668 is a wasteful number, since it uses less digits than its factorization.

39343668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181 (or 5172 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 39343668 is about 6272.4531086330. The cubic root of 39343668 is about 340.1143444705.

The spelling of 39343668 in words is "thirty-nine million, three hundred forty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 5147 7644 10294 15441 20588 30882 36029 61764 66911 72058 108087 133822 144116 200733 216174 252203 267644 401466 432348 468377 504406 756609 802932 936754 1008812 1405131 1513218 1873508 2810262 3026436 3278639 5620524 6557278 9835917 13114556 19671834 39343668