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3399904440 = 233259444179
BaseRepresentation
bin1100101010100110…
…0110110010111000
322202221112001002200
43022221212302320
523430333420230
61321211430200
7150152465562
oct31251466270
98687461080
103399904440
111495180589
127aa755360
134224c149a
14243784332
1514d739160
hexcaa66cb8

3399904440 has 48 divisors (see below), whose sum is σ = 11049690600. Its totient is φ = 906641088.

The previous prime is 3399904429. The next prime is 3399904451. The reversal of 3399904440 is 444099933.

3399904440 is a `hidden beast` number, since 33 + 99 + 90 + 4 + 440 = 666.

3399904440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3399904429) and next prime (3399904451).

It is a super-2 number, since 2×33999044402 = 23118700402263427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4721730 + ... + 4722449.

Almost surely, 23399904440 is an apocalyptic number.

3399904440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3399904440 is an abundant number, since it is smaller than the sum of its proper divisors (7649786160).

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

3399904440 is a wasteful number, since it uses less digits than its factorization.

3399904440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9444196 (or 9444189 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3399904440 is about 58308.6995224555. The cubic root of 3399904440 is about 1503.6805085185.

The spelling of 3399904440 in words is "three billion, three hundred ninety-nine million, nine hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 9444179 18888358 28332537 37776716 47220895 56665074 75553432 84997611 94441790 113330148 141662685 169995222 188883580 226660296 283325370 339990444 377767160 424988055 566650740 679980888 849976110 1133301480 1699952220 3399904440