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741199968 = 25324121531
BaseRepresentation
bin101100001011011…
…101000001100000
31220122200212012200
4230023131001200
53004221344333
6201314253200
724240044565
oct5413350140
91818625180
10741199968
1135042a563
12188287200
13ba736182
147062086c
154510ec13
hex2c2dd060

741199968 has 108 divisors (see below), whose sum is σ = 2161861884. Its totient is φ = 240883200.

The previous prime is 741199967. The next prime is 741199997. The reversal of 741199968 is 869991147.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741199961) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 483363 + ... + 484893.

Almost surely, 2741199968 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 741199968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080930942).

741199968 is an abundant number, since it is smaller than the sum of its proper divisors (1420661916).

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

741199968 is a wasteful number, since it uses less digits than its factorization.

741199968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1577 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The square root of 741199968 is about 27224.9879338816. The cubic root of 741199968 is about 904.9928137561.

The spelling of 741199968 in words is "seven hundred forty-one million, one hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1531 1681 1968 2952 3062 3362 3936 4593 5043 5904 6124 6724 9186 10086 11808 12248 13448 13779 15129 18372 20172 24496 26896 27558 30258 36744 40344 48992 53792 55116 60516 62771 73488 80688 110232 121032 125542 146976 161376 188313 220464 242064 251084 376626 440928 484128 502168 564939 753252 1004336 1129878 1506504 2008672 2259756 2573611 3013008 4519512 5147222 6026016 7720833 9039024 10294444 15441666 18078048 20588888 23162499 30883332 41177776 46324998 61766664 82355552 92649996 123533328 185299992 247066656 370599984 741199968