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803916834 = 237237263281
BaseRepresentation
bin101111111010101…
…100110000100010
32002000201012120120
4233322230300202
53121300314314
6211434421110
725631115600
oct5772546042
92060635516
10803916834
11382876686
121a5291796
13ca724946
1478aa8870
154a89c8a9
hex2feacc22

803916834 has 96 divisors (see below), whose sum is σ = 1935052416. Its totient is φ = 221840640.

The previous prime is 803916821. The next prime is 803916851. The reversal of 803916834 is 438619308.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2860774 + ... + 2861054.

It is an arithmetic number, because the mean of its divisors is an integer number (20156796).

Almost surely, 2803916834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803916834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967526208).

803916834 is an abundant number, since it is smaller than the sum of its proper divisors (1131135582).

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

803916834 is a wasteful number, since it uses less digits than its factorization.

803916834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 803916834 is about 28353.4272002522. The cubic root of 803916834 is about 929.8303286258.

The spelling of 803916834 in words is "eight hundred three million, nine hundred sixteen thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 263 281 294 518 526 562 777 789 843 1554 1578 1686 1813 1841 1967 3626 3682 3934 5439 5523 5901 9731 10397 10878 11046 11802 12887 13769 19462 20794 25774 27538 29193 31191 38661 41307 58386 62382 68117 72779 73903 77322 82614 136234 145558 147806 204351 218337 221709 408702 436674 443418 476819 509453 517321 953638 1018906 1034642 1430457 1528359 1551963 2734411 2860914 3056718 3103926 3621247 5468822 7242494 8203233 10863741 16406466 19140877 21727482 38281754 57422631 114845262 133986139 267972278 401958417 803916834