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2032345368 = 2332316191471
BaseRepresentation
bin111100100100011…
…0010000100011000
312020122012211201200
41321020302010120
513130240022433
6533400114200
7101235436104
oct17110620430
95218184650
102032345368
1195322a179
12488765960
13265090a31
14153cb8904
15bd651613
hex79232118

2032345368 has 96 divisors (see below), whose sum is σ = 5694873600. Its totient is φ = 654091200.

The previous prime is 2032345351. The next prime is 2032345369. The reversal of 2032345368 is 8635432302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032345369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1380873 + ... + 1382343.

It is an arithmetic number, because the mean of its divisors is an integer number (59321600).

Almost surely, 22032345368 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 2032345368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847436800).

2032345368 is an abundant number, since it is smaller than the sum of its proper divisors (3662528232).

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

2032345368 is a wasteful number, since it uses less digits than its factorization.

2032345368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2032345368 is about 45081.5413223639. The cubic root of 2032345368 is about 1266.6768615369.

The spelling of 2032345368 in words is "two billion, thirty-two million, three hundred forty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 619 744 1116 1238 1471 1857 2232 2476 2942 3714 4413 4952 5571 5884 7428 8826 11142 11768 13239 14856 17652 19189 22284 26478 35304 38378 44568 45601 52956 57567 76756 91202 105912 115134 136803 153512 172701 182404 230268 273606 345402 364808 410409 460536 547212 690804 820818 910549 1094424 1381608 1641636 1821098 2731647 3283272 3642196 5463294 7284392 8194941 10926588 16389882 21853176 28227019 32779764 56454038 65559528 84681057 112908076 169362114 225816152 254043171 338724228 508086342 677448456 1016172684 2032345368