Search a number
-
+
124034274 = 23371343587
BaseRepresentation
bin1110110010010…
…01110011100010
322122101121001000
413121021303202
5223223044044
620150252430
73034162650
oct731116342
9278347030
10124034274
1164017871
1235657116
131c90a280
1412689dd0
15ad50d69
hex7649ce2

124034274 has 128 divisors (see below), whose sum is σ = 347719680. Its totient is φ = 31897152.

The previous prime is 124034263. The next prime is 124034279. The reversal of 124034274 is 472430421.

It is a super-2 number, since 2×1240342742 = 30769002253414152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (124034279) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211009 + ... + 211595.

It is an arithmetic number, because the mean of its divisors is an integer number (2716560).

Almost surely, 2124034274 is an apocalyptic number.

124034274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

124034274 is the 7044-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124034274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173859840).

124034274 is an abundant number, since it is smaller than the sum of its proper divisors (223685406).

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

124034274 is a wasteful number, since it uses less digits than its factorization.

124034274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 124034274 is about 11137.0675673626. The cubic root of 124034274 is about 498.7090350209.

Adding to 124034274 its reverse (472430421), we get a palindrome (596464695).

The spelling of 124034274 in words is "one hundred twenty-four million, thirty-four thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 43 54 63 78 86 91 117 126 129 182 189 234 258 273 301 351 378 387 546 559 587 602 702 774 819 903 1118 1161 1174 1638 1677 1761 1806 2322 2457 2709 3354 3522 3913 4109 4914 5031 5283 5418 7631 7826 8127 8218 10062 10566 11739 12327 15093 15262 15849 16254 22893 23478 24654 25241 30186 31698 35217 36981 45786 50482 53417 68679 70434 73962 75723 105651 106834 110943 137358 151446 160251 176687 206037 211302 221886 227169 320502 328133 353374 412074 454338 480753 530061 656266 681507 961506 984399 1060122 1363014 1442259 1590183 1968798 2296931 2884518 2953197 3180366 4593862 4770549 5906394 6890793 8859591 9541098 13781586 17719182 20672379 41344758 62017137 124034274