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3343212240 = 243513930051
BaseRepresentation
bin1100011101000101…
…0101111011010000
322121222211210000120
43013101111323100
523321330242430
61311424350240
7145563556314
oct30721257320
98558753016
103343212240
111466179925
12793775380
13413831cc4
1423a027b44
1514878b610
hexc7455ed0

3343212240 has 40 divisors (see below), whose sum is σ = 10363958688. Its totient is φ = 891523200.

The previous prime is 3343212227. The next prime is 3343212247. The reversal of 3343212240 is 422123433.

3343212240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33432122402 = 22354136163371635200, which contains 22 as substring.

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 3343212240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3343212247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6964786 + ... + 6965265.

Almost surely, 23343212240 is an apocalyptic number.

3343212240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3343212240 is an abundant number, since it is smaller than the sum of its proper divisors (7020746448).

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

3343212240 is a wasteful number, since it uses less digits than its factorization.

3343212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13930067 (or 13930061 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3343212240 is about 57820.5174656886. The cubic root of 3343212240 is about 1495.2758393795.

Adding to 3343212240 its reverse (422123433), we get a palindrome (3765335673).

The spelling of 3343212240 in words is "three billion, three hundred forty-three million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 13930051 27860102 41790153 55720204 69650255 83580306 111440408 139300510 167160612 208950765 222880816 278601020 334321224 417901530 557202040 668642448 835803060 1114404080 1671606120 3343212240