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4032148340 = 2251121666177
BaseRepresentation
bin1111000001010101…
…1011001101110100
3101102000012100200102
43300111123031310
531224212221330
61504034533232
7201630460343
oct36025331564
911360170612
104032148340
11178a051800
12946437218
134c34994bc
142a3721b5a
15188ec5945
hexf055b374

4032148340 has 36 divisors (see below), whose sum is σ = 9307270308. Its totient is φ = 1466234880.

The previous prime is 4032148339. The next prime is 4032148369. The reversal of 4032148340 is 438412304.

It can be written as a sum of positive squares in 2 ways, for example, as 537683344 + 3494464996 = 23188^2 + 59114^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 830669 + ... + 835508.

Almost surely, 24032148340 is an apocalyptic number.

It is an amenable number.

4032148340 is an abundant number, since it is smaller than the sum of its proper divisors (5275121968).

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

4032148340 is a wasteful number, since it uses less digits than its factorization.

4032148340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666208 (or 1666195 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 4032148340 is about 63499.1995225137. The cubic root of 4032148340 is about 1591.6424018791.

The spelling of 4032148340 in words is "four billion, thirty-two million, one hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 1666177 3332354 6664708 8330885 16661770 18327947 33323540 36655894 73311788 91639735 183279470 201607417 366558940 403214834 806429668 1008037085 2016074170 4032148340