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190368312 = 23317617649
BaseRepresentation
bin10110101100011…
…00101000111000
3111021012201020020
423112030220320
5342213241222
630520130440
74501050441
oct1326145070
9437181206
10190368312
1198504592
1253906a20
1330594294
141b3d62c8
1511aa565c
hexb58ca38

190368312 has 64 divisors (see below), whose sum is σ = 512244000. Its totient is φ = 58736640.

The previous prime is 190368287. The next prime is 190368319. The reversal of 190368312 is 213863091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190368319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21064 + ... + 28712.

Almost surely, 2190368312 is an apocalyptic number.

190368312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190368312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256122000).

190368312 is an abundant number, since it is smaller than the sum of its proper divisors (321875688).

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

190368312 is a wasteful number, since it uses less digits than its factorization.

190368312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7736 (or 7732 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 190368312 is about 13797.4023642133. The cubic root of 190368312 is about 575.2609396626.

The spelling of 190368312 in words is "one hundred ninety million, three hundred sixty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 61 68 102 122 136 183 204 244 366 408 488 732 1037 1464 2074 3111 4148 6222 7649 8296 12444 15298 22947 24888 30596 45894 61192 91788 130033 183576 260066 390099 466589 520132 780198 933178 1040264 1399767 1560396 1866356 2799534 3120792 3732712 5599068 7932013 11198136 15864026 23796039 31728052 47592078 63456104 95184156 190368312