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2368946140 = 2251179136303
BaseRepresentation
bin1000110100110011…
…0011111111011100
320010002120221011221
42031030303333130
514322422234030
61031022423124
7112463465341
oct21514637734
96102527157
102368946140
111006232330
12561431aa4
132b9a350a2
141868987c8
15dce8ee7a
hex8d333fdc

2368946140 has 48 divisors (see below), whose sum is σ = 5495777280. Its totient is φ = 850524480.

The previous prime is 2368946119. The next prime is 2368946179. The reversal of 2368946140 is 416498632.

It is a happy number.

It is a super-2 number, since 2×23689461402 = 11223811628441799200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50772 + ... + 85531.

It is an arithmetic number, because the mean of its divisors is an integer number (114495360).

Almost surely, 22368946140 is an apocalyptic number.

2368946140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2368946140 is an abundant number, since it is smaller than the sum of its proper divisors (3126831140).

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

2368946140 is a wasteful number, since it uses less digits than its factorization.

2368946140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136402 (or 136400 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 2368946140 is about 48671.8208001303. The cubic root of 2368946140 is about 1333.0662366370.

The spelling of 2368946140 in words is "two billion, three hundred sixty-eight million, nine hundred forty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 3476 4345 8690 17380 136303 272606 545212 681515 1363030 1499333 2726060 2998666 5997332 7496665 10767937 14993330 21535874 29986660 43071748 53839685 107679370 118447307 215358740 236894614 473789228 592236535 1184473070 2368946140