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74003074304 = 28432791979
BaseRepresentation
bin100010011101011101…
…1010100110100000000
321002000101211200110212
41010322323110310000
52203024241334204
653555130413252
75226602516135
oct1047273246400
9232011750425
1074003074304
1129425896045
1212413591228
136c948a4483
14382052a58c
151dd1c91c6e
hex113aed4d00

74003074304 has 108 divisors (see below), whose sum is σ = 153223963200. Its totient is φ = 35665523712.

The previous prime is 74003074279. The next prime is 74003074309. The reversal of 74003074304 is 40347030047.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74003074309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37393187 + ... + 37395165.

It is an arithmetic number, because the mean of its divisors is an integer number (1418740400).

Almost surely, 274003074304 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 74003074304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76611981600).

74003074304 is an abundant number, since it is smaller than the sum of its proper divisors (79220888896).

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

74003074304 is an equidigital number, since it uses as much as digits as its factorization.

74003074304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 32.

The spelling of 74003074304 in words is "seventy-four billion, three million, seventy-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 43 64 79 86 128 158 172 256 316 344 632 688 1264 1376 1849 1979 2528 2752 3397 3698 3958 5056 5504 6794 7396 7916 10112 11008 13588 14792 15832 20224 27176 29584 31664 54352 59168 63328 85097 108704 118336 126656 146071 156341 170194 217408 236672 253312 292142 312682 340388 434816 473344 506624 584284 625364 680776 869632 1168568 1250728 1361552 2337136 2501456 2723104 3659171 4674272 5002912 5446208 6722663 7318342 9348544 10005824 10892416 13445326 14636684 18697088 20011648 21784832 26890652 29273368 37394176 40023296 53781304 58546736 107562608 117093472 215125216 234186944 289074509 430250432 468373888 578149018 860500864 936747776 1156298036 1721001728 2312596072 4625192144 9250384288 18500768576 37001537152 74003074304