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3404002032 = 2432612771399
BaseRepresentation
bin1100101011100100…
…1111001011110000
322210020020012221100
43022321033023300
523432411031112
61321435324400
7150232353114
oct31271171360
98706205840
103404002032
11149751a122
127abbb0700
134232c75b2
1424412d744
1514dc982dc
hexcae4f2f0

3404002032 has 120 divisors (see below), whose sum is σ = 9724551200. Its totient is φ = 1111242240.

The previous prime is 3404001973. The next prime is 3404002033. The reversal of 3404002032 is 2302004043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3404001996 and 3404002014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404002033) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2432469 + ... + 2433867.

Almost surely, 23404002032 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 3404002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862275600).

3404002032 is an abundant number, since it is smaller than the sum of its proper divisors (6320549168).

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

3404002032 is a wasteful number, since it uses less digits than its factorization.

3404002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3404002032 is about 58343.8259972724. The cubic root of 3404002032 is about 1504.2843485875.

Adding to 3404002032 its reverse (2302004043), we get a palindrome (5706006075).

The spelling of 3404002032 in words is "three billion, four hundred four million, two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 277 366 488 549 554 732 831 976 1098 1108 1399 1464 1662 2196 2216 2493 2798 2928 3324 4197 4392 4432 4986 5596 6648 8394 8784 9972 11192 12591 13296 16788 16897 19944 22384 25182 33576 33794 39888 50364 50691 67152 67588 85339 100728 101382 135176 152073 170678 201456 202764 256017 270352 304146 341356 387523 405528 512034 608292 682712 768051 775046 811056 1024068 1162569 1216584 1365424 1536102 1550092 2048136 2325138 2433168 3072204 3100184 3487707 4096272 4650276 6144408 6200368 6975414 9300552 12288816 13950828 18601104 23638903 27901656 47277806 55803312 70916709 94555612 141833418 189111224 212750127 283666836 378222448 425500254 567333672 851000508 1134667344 1702001016 3404002032