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3354948 = 2232412273
BaseRepresentation
bin1100110011000101000100
320022110010100
430303011010
51324324243
6155524100
740342122
oct14630504
96273110
103354948
111991693
121159630
1390609c
14634912
154640d3
hex333144

3354948 has 36 divisors (see below), whose sum is σ = 8691228. Its totient is φ = 1090560.

The previous prime is 3354929. The next prime is 3354971. The reversal of 3354948 is 8494533.

It can be written as a sum of positive squares in 2 ways, for example, as 1483524 + 1871424 = 1218^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33549482 = 22511352165408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 340 + ... + 2612.

It is an arithmetic number, because the mean of its divisors is an integer number (241423).

Almost surely, 23354948 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 3354948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345614).

3354948 is an abundant number, since it is smaller than the sum of its proper divisors (5336280).

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

3354948 is a wasteful number, since it uses less digits than its factorization.

3354948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2319 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3354948 is about 1831.6517136181. The cubic root of 3354948 is about 149.7023430597.

The spelling of 3354948 in words is "three million, three hundred fifty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 2273 4546 6819 9092 13638 20457 27276 40914 81828 93193 186386 279579 372772 559158 838737 1118316 1677474 3354948