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3740568 = 2331319631
BaseRepresentation
bin1110010001001110011000
321001001002120
432101032120
51424144233
6212101240
743536306
oct16211630
97031076
103740568
112125387
121304820
13a0c770
146d5276
154dd4b3
hex391398

3740568 has 64 divisors (see below), whose sum is σ = 10617600. Its totient is φ = 1088640.

The previous prime is 3740567. The next prime is 3740573. The reversal of 3740568 is 8650473.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3740567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5613 + ... + 6243.

It is an arithmetic number, because the mean of its divisors is an integer number (165900).

Almost surely, 23740568 is an apocalyptic number.

3740568 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3740568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5308800).

3740568 is an abundant number, since it is smaller than the sum of its proper divisors (6877032).

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

3740568 is a wasteful number, since it uses less digits than its factorization.

3740568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3740568 is about 1934.0548079101. The cubic root of 3740568 is about 155.2312607522.

It can be divided in two parts, 37405 and 68, that added together give a palindrome (37473).

The spelling of 3740568 in words is "three million, seven hundred forty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 631 741 988 1262 1482 1893 1976 2524 2964 3786 5048 5928 7572 8203 11989 15144 16406 23978 24609 32812 35967 47956 49218 65624 71934 95912 98436 143868 155857 196872 287736 311714 467571 623428 935142 1246856 1870284 3740568