Search a number
-
+
3744630 = 23552367
BaseRepresentation
bin1110010010001101110110
321001020200000
432102031312
51424312010
6212132130
743554201
oct16221566
97036600
103744630
11212843a
121307046
13a11576
146d6938
154de7c0
hex392376

3744630 has 96 divisors (see below), whose sum is σ = 10692864. Its totient is φ = 940896.

The previous prime is 3744623. The next prime is 3744647. The reversal of 3744630 is 364473.

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 = 3744594 and 3744603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55857 + ... + 55923.

It is an arithmetic number, because the mean of its divisors is an integer number (111384).

Almost surely, 23744630 is an apocalyptic number.

3744630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3744630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346432).

3744630 is an abundant number, since it is smaller than the sum of its proper divisors (6948234).

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

3744630 is a wasteful number, since it uses less digits than its factorization.

3744630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3744630 is about 1935.1046483330. The cubic root of 3744630 is about 155.2874305883.

The spelling of 3744630 in words is "three million, seven hundred forty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 67 69 81 90 115 134 135 138 162 201 207 230 243 270 335 345 402 405 414 486 603 621 670 690 810 1005 1035 1206 1215 1242 1541 1809 1863 2010 2070 2430 3015 3082 3105 3618 3726 4623 5427 5589 6030 6210 7705 9045 9246 9315 10854 11178 13869 15410 16281 18090 18630 23115 27135 27738 27945 32562 41607 46230 54270 55890 69345 81405 83214 124821 138690 162810 208035 249642 374463 416070 624105 748926 1248210 1872315 3744630