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996016434 = 23761783
BaseRepresentation
bin111011010111100…
…000000100110010
32120102011212200120
4323113200010302
54014440011214
6242500031110
733453000000
oct7327400462
92512155616
10996016434
11471252986
12239692496
1312b473c4a
14963d1a70
155c695ea9
hex3b5e0132

996016434 has 112 divisors (see below), whose sum is σ = 2490391008. Its totient is φ = 264609408.

The previous prime is 996016409. The next prime is 996016459. The reversal of 996016434 is 434610699.

It is an interprime number because it is at equal distance from previous prime (996016409) and next prime (996016459).

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

996016434 is a modest number, since divided by 16434 gives 996 as remainder.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12000157 + ... + 12000239.

It is an arithmetic number, because the mean of its divisors is an integer number (22235634).

Almost surely, 2996016434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996016434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245195504).

996016434 is an abundant number, since it is smaller than the sum of its proper divisors (1494374574).

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

996016434 is an frugal number, since it uses more digits than its factorization.

996016434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 996016434 is about 31559.7280406533. The cubic root of 996016434 is about 998.6703775544.

The spelling of 996016434 in words is "nine hundred ninety-six million, sixteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 83 98 102 119 147 166 238 249 294 343 357 498 581 686 714 833 1029 1162 1411 1666 1743 2058 2401 2499 2822 3486 4067 4233 4802 4998 5831 7203 8134 8466 9877 11662 12201 14406 16807 17493 19754 24402 28469 29631 33614 34986 40817 50421 56938 59262 69139 81634 85407 100842 117649 122451 138278 170814 199283 207417 235298 244902 285719 352947 398566 414834 483973 571438 597849 705894 857157 967946 1195698 1394981 1451919 1714314 2000033 2789962 2903838 3387811 4000066 4184943 6000099 6775622 8369886 9764867 10163433 12000198 19529734 20326866 23714677 29294601 47429354 58589202 71144031 142288062 166002739 332005478 498008217 996016434