Search a number
-
+
3754368 = 27323259
BaseRepresentation
bin1110010100100110000000
321001202000200
432110212000
51430114433
6212245200
743624452
oct16244600
97052020
103754368
112134792
121310800
13a15b27
146da2d2
154e2613
hex394980

3754368 has 48 divisors (see below), whose sum is σ = 10806900. Its totient is φ = 1251072.

The previous prime is 3754363. The next prime is 3754391. The reversal of 3754368 is 8634573.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 (3754363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 478 + ... + 2781.

Almost surely, 23754368 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 3754368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5403450).

3754368 is an abundant number, since it is smaller than the sum of its proper divisors (7052532).

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

3754368 is a wasteful number, since it uses less digits than its factorization.

3754368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3264 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3754368 is about 1937.6191576262. The cubic root of 3754368 is about 155.4219236323.

The spelling of 3754368 in words is "three million, seven hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3259 6518 9777 13036 19554 26072 29331 39108 52144 58662 78216 104288 117324 156432 208576 234648 312864 417152 469296 625728 938592 1251456 1877184 3754368