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21034368 = 273219312
BaseRepresentation
bin101000000111…
…1010110000000
31110120122201200
41100033112000
520341044433
62030501200
7343534455
oct120172600
943518650
1021034368
1110967483
127064800
134486194
142b1782c
151ca7613
hex140f580

21034368 has 144 divisors (see below), whose sum is σ = 65835900. Its totient is φ = 6428160.

The previous prime is 21034357. The next prime is 21034369. The reversal of 21034368 is 86343012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21034369) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 678513 + ... + 678543.

Almost surely, 221034368 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 21034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32917950).

21034368 is an abundant number, since it is smaller than the sum of its proper divisors (44801532).

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

21034368 is a wasteful number, since it uses less digits than its factorization.

21034368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 21034368 is about 4586.3240182089. The cubic root of 21034368 is about 276.0428414908.

The spelling of 21034368 in words is "twenty-one million, thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 62 64 72 76 93 96 114 124 128 144 152 171 186 192 228 248 279 288 304 342 372 384 456 496 558 576 589 608 684 744 912 961 992 1116 1152 1178 1216 1368 1488 1767 1824 1922 1984 2232 2356 2432 2736 2883 2976 3534 3648 3844 3968 4464 4712 5301 5472 5766 5952 7068 7296 7688 8649 8928 9424 10602 10944 11532 11904 14136 15376 17298 17856 18259 18848 21204 21888 23064 28272 30752 34596 35712 36518 37696 42408 46128 54777 56544 61504 69192 73036 75392 84816 92256 109554 113088 123008 138384 146072 164331 169632 184512 219108 226176 276768 292144 328662 339264 369024 438216 553536 584288 657324 678528 876432 1107072 1168576 1314648 1752864 2337152 2629296 3505728 5258592 7011456 10517184 21034368