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997734048 = 25347397557
BaseRepresentation
bin111011011110000…
…011011010100000
32120112102010210220
4323132003122200
54020404442143
6243000523040
733503412423
oct7336033240
92515363726
10997734048
114722163a3
1223a180480
1312b92599c
149671b9ba
155c8d4d83
hex3b7836a0

997734048 has 96 divisors (see below), whose sum is σ = 2686328064. Its totient is φ = 324099072.

The previous prime is 997734047. The next prime is 997734079. The reversal of 997734048 is 840437799.

It is a happy number.

997734048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (997734047) 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, 1790986 + ... + 1791542.

It is an arithmetic number, because the mean of its divisors is an integer number (27982584).

Almost surely, 2997734048 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 997734048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343164032).

997734048 is an abundant number, since it is smaller than the sum of its proper divisors (1688594016).

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

997734048 is a wasteful number, since it uses less digits than its factorization.

997734048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 997734048 is about 31586.9284356678. The cubic root of 997734048 is about 999.2441114431.

The spelling of 997734048 in words is "nine hundred ninety-seven million, seven hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 397 557 564 752 794 1114 1128 1191 1504 1588 1671 2228 2256 2382 3176 3342 4456 4512 4764 6352 6684 8912 9528 12704 13368 17824 18659 19056 26179 26736 37318 38112 52358 53472 55977 74636 78537 104716 111954 149272 157074 209432 221129 223908 298544 314148 418864 442258 447816 597088 628296 663387 837728 884516 895632 1256592 1326774 1769032 1791264 2513184 2653548 3538064 5307096 7076128 10393063 10614192 20786126 21228384 31179189 41572252 62358378 83144504 124716756 166289008 249433512 332578016 498867024 997734048