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742174368 = 253134712653
BaseRepresentation
bin101100001111001…
…010111010100000
31220201112100211120
4230033022322200
53004444034433
6201351212240
724251243445
oct5417127240
91821470746
10742174368
11350a35651
12188677080
13ba9b7840
14707d59cc
15452537b3
hex2c3caea0

742174368 has 96 divisors (see below), whose sum is σ = 2142878976. Its totient is φ = 223484928.

The previous prime is 742174339. The next prime is 742174369. The reversal of 742174368 is 863471247.

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

It is not an unprimeable number, because it can be changed into a prime (742174369) 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, 52330 + ... + 64982.

It is an arithmetic number, because the mean of its divisors is an integer number (22321656).

Almost surely, 2742174368 is an apocalyptic number.

742174368 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742174368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071439488).

742174368 is an abundant number, since it is smaller than the sum of its proper divisors (1400704608).

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

742174368 is a wasteful number, since it uses less digits than its factorization.

742174368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12726 (or 12718 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 742174368 is about 27242.8773810697. The cubic root of 742174368 is about 905.3892154896.

The spelling of 742174368 in words is "seven hundred forty-two million, one hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 78 94 96 104 141 156 188 208 282 312 376 416 564 611 624 752 1128 1222 1248 1504 1833 2256 2444 3666 4512 4888 7332 9776 12653 14664 19552 25306 29328 37959 50612 58656 75918 101224 151836 164489 202448 303672 328978 404896 493467 594691 607344 657956 986934 1189382 1214688 1315912 1784073 1973868 2378764 2631824 3568146 3947736 4757528 5263648 7136292 7730983 7895472 9515056 14272584 15461966 15790944 19030112 23192949 28545168 30923932 46385898 57090336 61847864 92771796 123695728 185543592 247391456 371087184 742174368