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114323440 = 24571167277
BaseRepresentation
bin1101101000001…
…10111111110000
321222010020021111
412310012333300
5213231322230
615202203104
72555506330
oct664067760
9258106244
10114323440
1159594990
1232353494
131a8ba20a
141127d0c0
15a08392a
hex6d06ff0

114323440 has 160 divisors (see below), whose sum is σ = 337549824. Its totient is φ = 34974720.

The previous prime is 114323431. The next prime is 114323449. The reversal of 114323440 is 44323411.

It is an interprime number because it is at equal distance from previous prime (114323431) and next prime (114323449).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114323449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412582 + ... + 412858.

Almost surely, 2114323440 is an apocalyptic number.

114323440 is a gapful number since it is divisible by the number (10) 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 114323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168774912).

114323440 is an abundant number, since it is smaller than the sum of its proper divisors (223226384).

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

114323440 is a wasteful number, since it uses less digits than its factorization.

114323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 114323440 is about 10692.2139896282. The cubic root of 114323440 is about 485.3388923473.

Adding to 114323440 its reverse (44323411), we get a palindrome (158646851).

The spelling of 114323440 in words is "one hundred fourteen million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 67 70 77 80 88 110 112 134 140 154 176 220 268 277 280 308 335 385 440 469 536 554 560 616 670 737 770 880 938 1072 1108 1232 1340 1385 1474 1540 1876 1939 2216 2345 2680 2770 2948 3047 3080 3685 3752 3878 4432 4690 5159 5360 5540 5896 6094 6160 7370 7504 7756 9380 9695 10318 11080 11792 12188 14740 15235 15512 18559 18760 19390 20636 21329 22160 24376 25795 29480 30470 31024 37118 37520 38780 41272 42658 48752 51590 58960 60940 74236 77560 82544 85316 92795 103180 106645 121880 129913 148472 155120 170632 185590 204149 206360 213290 243760 259826 296944 341264 371180 408298 412720 426580 519652 649565 742360 816596 853160 1020745 1039304 1299130 1429043 1484720 1633192 1706320 2041490 2078608 2598260 2858086 3266384 4082980 5196520 5716172 7145215 8165960 10393040 11432344 14290430 16331920 22864688 28580860 57161720 114323440