Search a number
-
+
114034740 = 223531371657
BaseRepresentation
bin1101100110000…
…00100000110100
321221120120020220
412303000200310
5213143102430
615152054340
72553164541
oct663004064
9257516226
10114034740
1159407a96
12322343b0
131a8189a1
1411205bc8
15a028110
hex6cc0834

114034740 has 96 divisors (see below), whose sum is σ = 338709504. Its totient is φ = 28615680.

The previous prime is 114034717. The next prime is 114034763. The reversal of 114034740 is 47430411.

It is an interprime number because it is at equal distance from previous prime (114034717) and next prime (114034763).

It is a self number, because there is not a number n which added to its sum of digits gives 114034740.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67992 + ... + 69648.

It is an arithmetic number, because the mean of its divisors is an integer number (3528224).

Almost surely, 2114034740 is an apocalyptic number.

114034740 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 114034740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169354752).

114034740 is an abundant number, since it is smaller than the sum of its proper divisors (224674764).

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

114034740 is a wasteful number, since it uses less digits than its factorization.

114034740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 114034740 is about 10678.7049776647. The cubic root of 114034740 is about 484.9300072588.

The spelling of 114034740 in words is "one hundred fourteen million, thirty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 37 60 62 74 93 111 124 148 155 185 186 222 310 370 372 444 465 555 620 740 930 1110 1147 1657 1860 2220 2294 3314 3441 4588 4971 5735 6628 6882 8285 9942 11470 13764 16570 17205 19884 22940 24855 33140 34410 49710 51367 61309 68820 99420 102734 122618 154101 183927 205468 245236 256835 306545 308202 367854 513670 613090 616404 735708 770505 919635 1027340 1226180 1541010 1839270 1900579 3082020 3678540 3801158 5701737 7602316 9502895 11403474 19005790 22806948 28508685 38011580 57017370 114034740