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1073293416 = 233413432963
BaseRepresentation
bin111111111110010…
…010100001101000
32202210120221210000
4333332102201220
54144230342131
6254300223000
735411562216
oct7776224150
92683527700
101073293416
11500934258
1225b53aa60
1314148ca80
14a2789cb6
156435cce6
hex3ff92868

1073293416 has 160 divisors (see below), whose sum is σ = 3313870560. Its totient is φ = 322455168.

The previous prime is 1073293409. The next prime is 1073293427. The reversal of 1073293416 is 6143923701.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 360751 + ... + 363713.

It is an arithmetic number, because the mean of its divisors is an integer number (20711691).

Almost surely, 21073293416 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 1073293416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656935280).

1073293416 is an abundant number, since it is smaller than the sum of its proper divisors (2240577144).

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

1073293416 is a wasteful number, since it uses less digits than its factorization.

1073293416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1073293416 is about 32761.1571224217. The cubic root of 1073293416 is about 1023.8574350882.

The spelling of 1073293416 in words is "one billion, seventy-three million, two hundred ninety-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 43 52 54 72 78 81 86 104 108 117 129 156 162 172 216 234 258 312 324 344 351 387 468 516 559 648 702 774 936 1032 1053 1118 1161 1404 1548 1677 2106 2236 2322 2808 2963 3096 3354 3483 4212 4472 4644 5031 5926 6708 6966 8424 8889 9288 10062 11852 13416 13932 15093 17778 20124 23704 26667 27864 30186 35556 38519 40248 45279 53334 60372 71112 77038 80001 90558 106668 115557 120744 127409 154076 160002 181116 213336 231114 240003 254818 308152 320004 346671 362232 382227 462228 480006 509636 640008 693342 764454 924456 960012 1019272 1040013 1146681 1386684 1528908 1656317 1920024 2080026 2293362 2773368 3057816 3120039 3312634 3440043 4160052 4586724 4968951 6240078 6625268 6880086 8320104 9173448 9937902 10320129 12480156 13250536 13760172 14906853 19875804 20640258 24960312 27520344 29813706 39751608 41280516 44720559 59627412 82561032 89441118 119254824 134161677 178882236 268323354 357764472 536646708 1073293416