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914039424 = 2733733623
BaseRepresentation
bin110110011110110…
…010001010000000
32100200221000101000
4312132302022000
53332443230144
6230411012000
731436130654
oct6636621200
92320830330
10914039424
11429a51391
1221613a000
131174a0a3c
1489572a64
15553a1769
hex367b2280

914039424 has 128 divisors (see below), whose sum is σ = 2735395200. Its totient is φ = 300423168.

The previous prime is 914039411. The next prime is 914039443. The reversal of 914039424 is 424930419.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250477 + ... + 254099.

It is an arithmetic number, because the mean of its divisors is an integer number (21370275).

Almost surely, 2914039424 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 914039424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367697600).

914039424 is an abundant number, since it is smaller than the sum of its proper divisors (1821355776).

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

914039424 is a wasteful number, since it uses less digits than its factorization.

914039424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 914039424 is about 30233.0849236395. The cubic root of 914039424 is about 970.4838426489.

The spelling of 914039424 in words is "nine hundred fourteen million, thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 128 144 146 192 216 219 288 292 384 432 438 576 584 657 864 876 1152 1168 1314 1728 1752 1971 2336 2628 3456 3504 3623 3942 4672 5256 7008 7246 7884 9344 10512 10869 14016 14492 15768 21024 21738 28032 28984 31536 32607 42048 43476 57968 63072 65214 84096 86952 97821 115936 126144 130428 173904 195642 231872 252288 260856 264479 347808 391284 463744 521712 528958 695616 782568 793437 1043424 1057916 1391232 1565136 1586874 2086848 2115832 2380311 3130272 3173748 4173696 4231664 4760622 6260544 6347496 7140933 8463328 9521244 12521088 12694992 14281866 16926656 19042488 25389984 28563732 33853312 38084976 50779968 57127464 76169952 101559936 114254928 152339904 228509856 304679808 457019712 914039424