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3369984 = 21031097
BaseRepresentation
bin1100110110110000000000
320100012202020
430312300000
51330314414
6200121440
740434012
oct14666000
96305666
103369984
1119a1a12
121166280
1390cb97
1463a1b2
154687a9
hex336c00

3369984 has 44 divisors (see below), whose sum is σ = 8990424. Its totient is φ = 1122304.

The previous prime is 3369959. The next prime is 3369991. The reversal of 3369984 is 4899633.

It is a super-2 number, since 2×33699842 = 22713584320512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2524 + ... + 3620.

Almost surely, 23369984 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 3369984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495212).

3369984 is an abundant number, since it is smaller than the sum of its proper divisors (5620440).

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

3369984 is a wasteful number, since it uses less digits than its factorization.

3369984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1102 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 3369984 is about 1835.7516171857. The cubic root of 3369984 is about 149.9256520442.

The spelling of 3369984 in words is "three million, three hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1097 1536 2194 3072 3291 4388 6582 8776 13164 17552 26328 35104 52656 70208 105312 140416 210624 280832 421248 561664 842496 1123328 1684992 3369984