Search a number
-
+
740008032 = 253671031117
BaseRepresentation
bin101100000110111…
…010000001100000
31220120110022011220
4230012322001200
53003420224112
6201232535040
724223651551
oct5406720140
91816408156
10740008032
1134a795a95
121879b1480
13ba40979a
14703d0328
1544e7698c
hex2c1ba060

740008032 has 96 divisors (see below), whose sum is σ = 1992436992. Its totient is φ = 240413184.

The previous prime is 740008013. The next prime is 740008043. The reversal of 740008032 is 230800047.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7400080322 = 1095223774849026048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 740007993 and 740008011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661938 + ... + 663054.

It is an arithmetic number, because the mean of its divisors is an integer number (20754552).

Almost surely, 2740008032 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 740008032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996218496).

740008032 is an abundant number, since it is smaller than the sum of its proper divisors (1252428960).

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

740008032 is a wasteful number, since it uses less digits than its factorization.

740008032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1292 counting only the distinct ones).

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

The square root of 740008032 is about 27203.0886481664. The cubic root of 740008032 is about 904.5074421516.

Adding to 740008032 its reverse (230800047), we get a palindrome (970808079).

The spelling of 740008032 in words is "seven hundred forty million, eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 103 134 201 206 268 309 402 412 536 618 804 824 1072 1117 1236 1608 1648 2144 2234 2472 3216 3296 3351 4468 4944 6432 6702 6901 8936 9888 13404 13802 17872 20703 26808 27604 35744 41406 53616 55208 74839 82812 107232 110416 115051 149678 165624 220832 224517 230102 299356 331248 345153 449034 460204 598712 662496 690306 898068 920408 1197424 1380612 1796136 1840816 2394848 2761224 3592272 3681632 5522448 7184544 7708417 11044896 15416834 23125251 30833668 46250502 61667336 92501004 123334672 185002008 246669344 370004016 740008032