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3356400420 = 2232518646669
BaseRepresentation
bin1100100000001110…
…1001101100100100
322122220122210210200
43020003221230210
523333214303140
61313015150500
7146113634652
oct31003515444
98586583720
103356400420
11147266734a
12798075430
1341649ba69
1423ba9bdd2
151499e4030
hexc80e9b24

3356400420 has 36 divisors (see below), whose sum is σ = 10181081820. Its totient is φ = 895040064.

The previous prime is 3356400409. The next prime is 3356400431. The reversal of 3356400420 is 240046533.

It is an interprime number because it is at equal distance from previous prime (3356400409) and next prime (3356400431).

It can be written as a sum of positive squares in 2 ways, for example, as 1536012864 + 1820387556 = 39192^2 + 42666^2 .

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

It is a super-2 number, since 2×33564004202 = 22530847558752352800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9323155 + ... + 9323514.

Almost surely, 23356400420 is an apocalyptic number.

3356400420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3356400420 is an abundant number, since it is smaller than the sum of its proper divisors (6824681400).

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

3356400420 is a wasteful number, since it uses less digits than its factorization.

3356400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18646684 (or 18646679 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3356400420 is about 57934.4493371604. The cubic root of 3356400420 is about 1497.2394292829.

Adding to 3356400420 its reverse (240046533), we get a palindrome (3596446953).

The spelling of 3356400420 in words is "three billion, three hundred fifty-six million, four hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 18646669 37293338 55940007 74586676 93233345 111880014 167820021 186466690 223760028 279700035 335640042 372933380 559400070 671280084 839100105 1118800140 1678200210 3356400420