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114703296 = 2632832111
BaseRepresentation
bin1101101011000…
…11101111000000
321222211112100020
412311203233000
5213331001141
615214253440
72561650641
oct665435700
9258745306
10114703296
1159824314
12324b7280
131a9c1096
141133b6c8
15a10b266
hex6d63bc0

114703296 has 56 divisors (see below), whose sum is σ = 304702464. Its totient is φ = 38081280.

The previous prime is 114703283. The next prime is 114703313. The reversal of 114703296 is 692307411.

It is a super-2 number, since 2×1147032962 = 26313692226527232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53281 + ... + 55391.

Almost surely, 2114703296 is an apocalyptic number.

114703296 is a gapful number since it is divisible by the number (16) 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 114703296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152351232).

114703296 is an abundant number, since it is smaller than the sum of its proper divisors (189999168).

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

114703296 is a wasteful number, since it uses less digits than its factorization.

114703296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 114703296 is about 10709.9624649202. The cubic root of 114703296 is about 485.8758340865.

The spelling of 114703296 in words is "one hundred fourteen million, seven hundred three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 283 566 849 1132 1698 2111 2264 3396 4222 4528 6333 6792 8444 9056 12666 13584 16888 18112 25332 27168 33776 50664 54336 67552 101328 135104 202656 405312 597413 1194826 1792239 2389652 3584478 4779304 7168956 9558608 14337912 19117216 28675824 38234432 57351648 114703296