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2004010332 = 2231923401953
BaseRepresentation
bin111011101110010…
…1100010101011100
312011122220021100220
41313130230111130
513101011312312
6530504521340
7100442543502
oct16734542534
95148807326
102004010332
11939236695
1247b180250
1325c24c83c
14150220672
15bae05c8c
hex7772c55c

2004010332 has 96 divisors (see below), whose sum is σ = 5154347520. Its totient is φ = 603187200.

The previous prime is 2004010319. The next prime is 2004010361. The reversal of 2004010332 is 2330104002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2102368 + ... + 2103320.

It is an arithmetic number, because the mean of its divisors is an integer number (53691120).

Almost surely, 22004010332 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 2004010332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577173760).

2004010332 is an abundant number, since it is smaller than the sum of its proper divisors (3150337188).

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

2004010332 is a wasteful number, since it uses less digits than its factorization.

2004010332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2004010332 is about 44766.1739709795. The cubic root of 2004010332 is about 1260.7626046103.

Adding to 2004010332 its reverse (2330104002), we get a palindrome (4334114334).

The spelling of 2004010332 in words is "two billion, four million, ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 401 437 802 874 953 1203 1311 1604 1748 1906 2406 2622 2859 3812 4812 5244 5718 7619 9223 11436 15238 18107 18446 21919 22857 27669 30476 36214 36892 43838 45714 54321 55338 65757 72428 87676 91428 108642 110676 131514 175237 217284 263028 350474 382153 416461 525711 700948 764306 832922 1051422 1146459 1249383 1528612 1665844 2102844 2292918 2498766 4585836 4997532 7260907 8789519 14521814 17579038 21782721 26368557 29043628 35158076 43565442 52737114 87130884 105474228 167000861 334001722 501002583 668003444 1002005166 2004010332