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3481000404 = 2237371278819
BaseRepresentation
bin1100111101111011…
…1101100111010100
322222121010010211220
43033132331213110
524112114003104
61333225530340
7152156005140
oct31736754724
98877103756
103481000404
111526a30142
128119439b0
1343624666b
14250454220
151559077d9
hexcf7bd9d4

3481000404 has 96 divisors (see below), whose sum is σ = 9609707520. Its totient is φ = 959962752.

The previous prime is 3481000387. The next prime is 3481000417. The reversal of 3481000404 is 4040001843.

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, 390307 + ... + 399125.

It is an arithmetic number, because the mean of its divisors is an integer number (100101120).

Almost surely, 23481000404 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 3481000404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804853760).

3481000404 is an abundant number, since it is smaller than the sum of its proper divisors (6128707116).

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

3481000404 is a wasteful number, since it uses less digits than its factorization.

3481000404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8997 (or 8995 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 3481000404 is about 59000.0034237287. The cubic root of 3481000404 is about 1515.5421680308.

The spelling of 3481000404 in words is "three billion, four hundred eighty-one million, four hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 127 148 222 254 259 381 444 508 518 762 777 889 1036 1524 1554 1778 2667 3108 3556 4699 5334 8819 9398 10668 14097 17638 18796 26457 28194 32893 35276 52914 56388 61733 65786 98679 105828 123466 131572 185199 197358 246932 326303 370398 394716 652606 740796 978909 1120013 1305212 1957818 2240026 2284121 3360039 3915636 4480052 4568242 6720078 6852363 7840091 9136484 13440156 13704726 15680182 23520273 27409452 31360364 41440481 47040546 82880962 94081092 124321443 165761924 248642886 290083367 497285772 580166734 870250101 1160333468 1740500202 3481000404