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3998436 = 2231319271
BaseRepresentation
bin1111010000001011100100
321112010211020
433100023210
52010422221
6221411140
745662151
oct17201344
97463736
103998436
1122910a2
121409ab0
13a9cc50
14761228
1553eac6
hex3d02e4

3998436 has 72 divisors (see below), whose sum is σ = 10753344. Its totient is φ = 1149120.

The previous prime is 3998419. The next prime is 3998459. The reversal of 3998436 is 6348993.

Its product of digits (139968) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56281 + ... + 56351.

It is an arithmetic number, because the mean of its divisors is an integer number (149352).

Almost surely, 23998436 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 3998436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5376672).

3998436 is an abundant number, since it is smaller than the sum of its proper divisors (6754908).

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

3998436 is a wasteful number, since it uses less digits than its factorization.

3998436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

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

The square root of 3998436 is about 1999.6089617723. The cubic root of 3998436 is about 158.7194133727.

The spelling of 3998436 in words is "three million, nine hundred ninety-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 71 76 78 114 142 156 213 228 247 284 361 426 494 722 741 852 923 988 1083 1349 1444 1482 1846 2166 2698 2769 2964 3692 4047 4332 4693 5396 5538 8094 9386 11076 14079 16188 17537 18772 25631 28158 35074 51262 52611 56316 70148 76893 102524 105222 153786 210444 307572 333203 666406 999609 1332812 1999218 3998436