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3545201040 = 2435107138053
BaseRepresentation
bin1101001101001111…
…0111100110010000
3100011001220212120020
43103103313212100
524230032413130
61343441543440
7153565466043
oct32323674620
910131825506
103545201040
11155a1a0017
1282b344b80
134466345c4
14258ba6c5a
1515b389e10
hexd34f7990

3545201040 has 80 divisors (see below), whose sum is σ = 11092915008. Its totient is φ = 936544768.

The previous prime is 3545201021. The next prime is 3545201041. The reversal of 3545201040 is 401025453.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3545201040.

It is not an unprimeable number, because it can be changed into a prime (3545201041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43347 + ... + 94706.

Almost surely, 23545201040 is an apocalyptic number.

3545201040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3545201040 is an abundant number, since it is smaller than the sum of its proper divisors (7547713968).

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

3545201040 is a wasteful number, since it uses less digits than its factorization.

3545201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138176 (or 138170 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 3545201040 is about 59541.5908420324. The cubic root of 3545201040 is about 1524.8025959656.

Adding to 3545201040 its reverse (401025453), we get a palindrome (3946226493).

The spelling of 3545201040 in words is "three billion, five hundred forty-five million, two hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 535 642 856 1070 1284 1605 1712 2140 2568 3210 4280 5136 6420 8560 12840 25680 138053 276106 414159 552212 690265 828318 1104424 1380530 1656636 2070795 2208848 2761060 3313272 4141590 5522120 6626544 8283180 11044240 14771671 16566360 29543342 33132720 44315013 59086684 73858355 88630026 118173368 147716710 177260052 221575065 236346736 295433420 354520104 443150130 590866840 709040208 886300260 1181733680 1772600520 3545201040