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4145364 = 2233131293
BaseRepresentation
bin1111110100000011010100
321210121101000
433310003110
52030122424
6224503300
750143416
oct17640324
97717330
104145364
112381523
12147ab30
13b21aa2
1479c9b6
1556d3c9
hex3f40d4

4145364 has 48 divisors (see below), whose sum is σ = 10866240. Its totient is φ = 1366560.

The previous prime is 4145341. The next prime is 4145371. The reversal of 4145364 is 4635414.

4145364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14002 + ... + 14294.

It is an arithmetic number, because the mean of its divisors is an integer number (226380).

Almost surely, 24145364 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 4145364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433120).

4145364 is an abundant number, since it is smaller than the sum of its proper divisors (6720876).

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

4145364 is a wasteful number, since it uses less digits than its factorization.

4145364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 4145364 is about 2036.0166993421. The cubic root of 4145364 is about 160.6401954365.

It can be divided in two parts, 414 and 5364, that added together give a triangular number (5778 = T107).

The spelling of 4145364 in words is "four million, one hundred forty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 293 393 524 586 786 879 1172 1179 1572 1758 2358 2637 3516 3537 4716 5274 7074 7911 10548 14148 15822 31644 38383 76766 115149 153532 230298 345447 460596 690894 1036341 1381788 2072682 4145364