Search a number
-
+
274734216 = 233271223241
BaseRepresentation
bin10000011000000…
…001110010001000
3201010221221111100
4100120001302020
51030312443331
643132301400
76544126251
oct2030016210
9633857440
10274734216
11131097979
1278011860
1344bc2933
14286b7b28
15191bcae6
hex10601c88

274734216 has 96 divisors (see below), whose sum is σ = 761080320. Its totient is φ = 89510400.

The previous prime is 274734199. The next prime is 274734217. The reversal of 274734216 is 612437472.

It is a super-2 number, since 2×2747342162 = 150957778882269312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (274734217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1139856 + ... + 1140096.

It is an arithmetic number, because the mean of its divisors is an integer number (7927920).

Almost surely, 2274734216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274734216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380540160).

274734216 is an abundant number, since it is smaller than the sum of its proper divisors (486346104).

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

274734216 is a wasteful number, since it uses less digits than its factorization.

274734216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 540 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 274734216 is about 16575.1083254379. The cubic root of 274734216 is about 650.0861550494.

It can be divided in two parts, 2747 and 34216, that added together give a palindrome (36963).

The spelling of 274734216 in words is "two hundred seventy-four million, seven hundred thirty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 223 241 284 426 446 482 568 639 669 723 852 892 964 1278 1338 1446 1704 1784 1928 2007 2169 2556 2676 2892 4014 4338 5112 5352 5784 8028 8676 15833 16056 17111 17352 31666 34222 47499 51333 53743 63332 68444 94998 102666 107486 126664 136888 142497 153999 161229 189996 205332 214972 284994 307998 322458 379992 410664 429944 483687 569988 615996 644916 967374 1139976 1231992 1289832 1934748 3815753 3869496 7631506 11447259 15263012 22894518 30526024 34341777 45789036 68683554 91578072 137367108 274734216