Search a number
-
+
3744468 = 2234713127
BaseRepresentation
bin1110010010001011010100
321001020110000
432102023110
51424310333
6212131300
743553550
oct16221324
97036400
103744468
112128302
121306b30
13a11480
146d6860
154de713
hex3922d4

3744468 has 120 divisors (see below), whose sum is σ = 12142592. Its totient is φ = 979776.

The previous prime is 3744467. The next prime is 3744493. The reversal of 3744468 is 8644473.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3744467) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29421 + ... + 29547.

Almost surely, 23744468 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 3744468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071296).

3744468 is an abundant number, since it is smaller than the sum of its proper divisors (8398124).

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

3744468 is a wasteful number, since it uses less digits than its factorization.

3744468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 3744468 is about 1935.0627896789. The cubic root of 3744468 is about 155.2851912103.

The spelling of 3744468 in words is "three million, seven hundred forty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 127 156 162 182 189 234 252 254 273 324 351 364 378 381 468 508 546 567 702 756 762 819 889 1053 1092 1134 1143 1404 1524 1638 1651 1778 2106 2268 2286 2457 2667 3276 3302 3429 3556 4212 4572 4914 4953 5334 6604 6858 7371 8001 9828 9906 10287 10668 11557 13716 14742 14859 16002 19812 20574 23114 24003 29484 29718 32004 34671 41148 44577 46228 48006 59436 69342 72009 89154 96012 104013 133731 138684 144018 178308 208026 267462 288036 312039 416052 534924 624078 936117 1248156 1872234 3744468