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3407124 = 223747863
BaseRepresentation
bin1100111111110100010100
320102002200210
430333310110
51333011444
6201005420
740650210
oct14776424
96362623
103407124
111a17906
121183870
13923a66
14649940
154747b9
hex33fd14

3407124 has 48 divisors (see below), whose sum is σ = 9289728. Its totient is φ = 951648.

The previous prime is 3407119. The next prime is 3407143. The reversal of 3407124 is 4217043.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 3407124.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3517 + ... + 4379.

It is an arithmetic number, because the mean of its divisors is an integer number (193536).

Almost surely, 23407124 is an apocalyptic number.

3407124 is the 987-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644864).

3407124 is an abundant number, since it is smaller than the sum of its proper divisors (5882604).

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

3407124 is a wasteful number, since it uses less digits than its factorization.

3407124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 3407124 is about 1845.8396463398. The cubic root of 3407124 is about 150.4744091027.

The spelling of 3407124 in words is "three million, four hundred seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 564 658 863 987 1316 1726 1974 2589 3452 3948 5178 6041 10356 12082 18123 24164 36246 40561 72492 81122 121683 162244 243366 283927 486732 567854 851781 1135708 1703562 3407124