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3392480 = 255713233
BaseRepresentation
bin1100111100001111100000
320101100121102
430330033200
51332024410
6200413532
740556420
oct14741740
96340542
103392480
111a07903
1211772a8
1391a1b0
14644480
154702a5
hex33c3e0

3392480 has 96 divisors (see below), whose sum is σ = 9906624. Its totient is φ = 1069056.

The previous prime is 3392479. The next prime is 3392491. The reversal of 3392480 is 842933.

3392480 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14444 + ... + 14676.

It is an arithmetic number, because the mean of its divisors is an integer number (103194).

Almost surely, 23392480 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 3392480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312).

3392480 is an abundant number, since it is smaller than the sum of its proper divisors (6514144).

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

3392480 is a wasteful number, since it uses less digits than its factorization.

3392480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 3392480 is about 1841.8686163785. The cubic root of 3392480 is about 150.2585171662.

The spelling of 3392480 in words is "three million, three hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 233 260 280 364 416 455 466 520 560 728 910 932 1040 1120 1165 1456 1631 1820 1864 2080 2330 2912 3029 3262 3640 3728 4660 6058 6524 7280 7456 8155 9320 12116 13048 14560 15145 16310 18640 21203 24232 26096 30290 32620 37280 42406 48464 52192 60580 65240 84812 96928 106015 121160 130480 169624 212030 242320 260960 339248 424060 484640 678496 848120 1696240 3392480