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830999424 = 2734359853
BaseRepresentation
bin110001100010000…
…000101110000000
32010220200010220110
4301202000232000
53200213440144
6214243111320
726410243563
oct6142005600
92126603813
10830999424
11397094192
121b2372540
13103217a48
147c5184da
154ce4c0b9
hex31880b80

830999424 has 128 divisors (see below), whose sum is σ = 2299651200. Its totient is φ = 265660416.

The previous prime is 830999413. The next prime is 830999461. The reversal of 830999424 is 424999038.

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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 973782 + ... + 974634.

It is an arithmetic number, because the mean of its divisors is an integer number (17966025).

Almost surely, 2830999424 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 830999424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149825600).

830999424 is an abundant number, since it is smaller than the sum of its proper divisors (1468651776).

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

830999424 is a wasteful number, since it uses less digits than its factorization.

830999424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 830999424 is about 28827.0606201881. The cubic root of 830999424 is about 940.1566903425.

The spelling of 830999424 in words is "eight hundred thirty million, nine hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 59 64 86 96 118 128 129 172 177 192 236 258 344 354 384 472 516 688 708 853 944 1032 1376 1416 1706 1888 2064 2537 2559 2752 2832 3412 3776 4128 5074 5118 5504 5664 6824 7552 7611 8256 10148 10236 11328 13648 15222 16512 20296 20472 22656 27296 30444 36679 40592 40944 50327 54592 60888 73358 81184 81888 100654 109184 110037 121776 146716 150981 162368 163776 201308 220074 243552 293432 301962 324736 327552 402616 440148 487104 586864 603924 805232 880296 974208 1173728 1207848 1610464 1760592 2164061 2347456 2415696 3220928 3521184 4328122 4694912 4831392 6441856 6492183 7042368 8656244 9662784 12984366 14084736 17312488 19325568 25968732 34624976 51937464 69249952 103874928 138499904 207749856 276999808 415499712 830999424