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745380096 = 28317371543
BaseRepresentation
bin101100011011011…
…001100100000000
31220221120020021020
4230123121210000
53011304130341
6201544025440
724320424546
oct5433314400
91827506236
10745380096
1135282510a
12189762280
13bb56aa16
1470dcbd96
1545688566
hex2c6d9900

745380096 has 144 divisors (see below), whose sum is σ = 2158660224. Its totient is φ = 227377152.

The previous prime is 745380091. The next prime is 745380137. The reversal of 745380096 is 690083547.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (745380091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482301 + ... + 483843.

It is an arithmetic number, because the mean of its divisors is an integer number (14990696).

Almost surely, 2745380096 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 745380096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079330112).

745380096 is an abundant number, since it is smaller than the sum of its proper divisors (1413280128).

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

745380096 is a wasteful number, since it uses less digits than its factorization.

745380096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 745380096 is about 27301.6500600238. The cubic root of 745380096 is about 906.6909143842.

The spelling of 745380096 in words is "seven hundred forty-five million, three hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 96 102 111 128 136 148 192 204 222 256 272 296 384 408 444 544 592 629 768 816 888 1088 1184 1258 1543 1632 1776 1887 2176 2368 2516 3086 3264 3552 3774 4352 4629 4736 5032 6172 6528 7104 7548 9258 9472 10064 12344 13056 14208 15096 18516 20128 24688 26231 28416 30192 37032 40256 49376 52462 57091 60384 74064 78693 80512 98752 104924 114182 120768 148128 157386 161024 171273 197504 209848 228364 241536 296256 314772 342546 395008 419696 456728 483072 592512 629544 685092 839392 913456 970547 1185024 1259088 1370184 1678784 1826912 1941094 2518176 2740368 2911641 3357568 3653824 3882188 5036352 5480736 5823282 6715136 7307648 7764376 10072704 10961472 11646564 14615296 15528752 20145408 21922944 23293128 31057504 43845888 46586256 62115008 93172512 124230016 186345024 248460032 372690048 745380096