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1033841214 = 232723532127
BaseRepresentation
bin111101100111110…
…010101000111110
32200001100120112100
4331213302220332
54104130404324
6250330445530
734422335220
oct7547625076
92601316470
101033841214
1149063822a
1224a2938a6
13136258683
149b43a410
1560b684c9
hex3d9f2a3e

1033841214 has 144 divisors (see below), whose sum is σ = 2744082432. Its totient is φ = 275026752.

The previous prime is 1033841209. The next prime is 1033841231. The reversal of 1033841214 is 4121483301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8140419 + ... + 8140545.

It is an arithmetic number, because the mean of its divisors is an integer number (19056128).

Almost surely, 21033841214 is an apocalyptic number.

1033841214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033841214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372041216).

1033841214 is an abundant number, since it is smaller than the sum of its proper divisors (1710241218).

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

1033841214 is a wasteful number, since it uses less digits than its factorization.

1033841214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1033841214 is about 32153.4012819795. The cubic root of 1033841214 is about 1011.1554968086.

The spelling of 1033841214 in words is "one billion, thirty-three million, eight hundred forty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 53 63 69 106 126 127 138 159 161 207 254 318 322 371 381 414 477 483 742 762 889 954 966 1113 1143 1219 1449 1778 2226 2286 2438 2667 2809 2898 2921 3339 3657 5334 5618 5842 6678 6731 7314 8001 8427 8533 8763 10971 13462 16002 16854 17066 17526 19663 20193 20447 21942 25281 25599 26289 39326 40386 40894 47117 50562 51198 52578 58989 60579 61341 64607 76797 94234 117978 121158 122682 129214 141351 153594 154813 176967 184023 193821 282702 309626 353934 356743 368046 387642 424053 452249 464439 581463 713486 848106 904498 928878 1070229 1083691 1162926 1356747 1393317 2140458 2167382 2497201 2713494 2786634 3210687 3251073 4070241 4994402 6421374 6502146 7491603 8140482 8205089 9753219 14983206 16410178 19506438 22474809 24615267 44949618 49230534 57435623 73845801 114871246 147691602 172306869 344613738 516920607 1033841214