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3734388 = 2232722973
BaseRepresentation
bin1110001111101101110100
321000201121200
432033231310
51424000023
6212012500
743512300
oct16175564
97021550
103734388
112120779
121301130
13a099c8
146d2d00
154db743
hex38fb74

3734388 has 108 divisors (see below), whose sum is σ = 11515140. Its totient is φ = 1016064.

The previous prime is 3734383. The next prime is 3734399. The reversal of 3734388 is 8834373.

It can be written as a sum of positive squares in 2 ways, for example, as 2039184 + 1695204 = 1428^2 + 1302^2 .

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

Its product of digits (48384) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3734383) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51120 + ... + 51192.

Almost surely, 23734388 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 3734388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757570).

3734388 is an abundant number, since it is smaller than the sum of its proper divisors (7780752).

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

3734388 is a wasteful number, since it uses less digits than its factorization.

3734388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3734388 is about 1932.4564678150. The cubic root of 3734388 is about 155.1457249016.

It can be divided in two parts, 373 and 4388, that added together give a square (4761 = 692).

The spelling of 3734388 in words is "three million, seven hundred thirty-four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 73 84 87 98 116 126 146 147 174 196 203 219 252 261 292 294 348 406 438 441 511 522 588 609 657 812 876 882 1022 1044 1218 1314 1421 1533 1764 1827 2044 2117 2436 2628 2842 3066 3577 3654 4234 4263 4599 5684 6132 6351 7154 7308 8468 8526 9198 10731 12702 12789 14308 14819 17052 18396 19053 21462 25404 25578 29638 32193 38106 42924 44457 51156 59276 64386 76212 88914 103733 128772 133371 177828 207466 266742 311199 414932 533484 622398 933597 1244796 1867194 3734388