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841464064 = 2874372
BaseRepresentation
bin110010001001111…
…011100100000000
32011122100210200201
4302021323210000
53210403322224
6215255254544
726565220000
oct6211734400
92148323621
10841464064
113a1a91451
121b597a454
1310543cc3c
147da80000
154dd17a44
hex3227b900

841464064 has 135 divisors (see below), whose sum is σ = 2013854577. Its totient is φ = 350880768.

The previous prime is 841464059. The next prime is 841464083. The reversal of 841464064 is 460464148.

The square root of 841464064 is 29008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 752953600 + 88510464 = 27440^2 + 9408^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 22742254 + ... + 22742290.

Almost surely, 2841464064 is an apocalyptic number.

841464064 is the 29008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 841464064

841464064 is an abundant number, since it is smaller than the sum of its proper divisors (1172390513).

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

841464064 is an frugal number, since it uses more digits than its factorization.

841464064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The cubic root of 841464064 is about 944.0866529668.

The spelling of 841464064 in words is "eight hundred forty-one million, four hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 64 74 98 112 128 148 196 224 256 259 296 343 392 448 518 592 686 784 896 1036 1184 1369 1372 1568 1792 1813 2072 2368 2401 2738 2744 3136 3626 4144 4736 4802 5476 5488 6272 7252 8288 9472 9583 9604 10952 10976 12544 12691 14504 16576 19166 19208 21904 21952 25382 29008 33152 38332 38416 43808 43904 50764 58016 66304 67081 76664 76832 87616 87808 88837 101528 116032 134162 153328 153664 175232 177674 203056 232064 268324 306656 307328 350464 355348 406112 464128 469567 536648 613312 614656 710696 812224 939134 1073296 1226624 1421392 1624448 1878268 2146592 2453248 2842784 3248896 3286969 3756536 4293184 5685568 6573938 7513072 8586368 11371136 13147876 15026144 17172736 22742272 26295752 30052288 52591504 60104576 105183008 120209152 210366016 420732032 841464064