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336149940 = 22357800357
BaseRepresentation
bin10100000010010…
…011110110110100
3212102112012000210
4110002103312310
51142023244230
653204505420
711221140660
oct2402236664
9772465023
10336149940
11162825475
12946ab270
13548470b9
14329038a0
151e79eeb0
hex14093db4

336149940 has 48 divisors (see below), whose sum is σ = 1075681152. Its totient is φ = 76834176.

The previous prime is 336149929. The next prime is 336149941. The reversal of 336149940 is 49941633.

336149940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3361499402 = 225993564324007200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336149941) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 399759 + ... + 400598.

It is an arithmetic number, because the mean of its divisors is an integer number (22410024).

Almost surely, 2336149940 is an apocalyptic number.

336149940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

336149940 is an abundant number, since it is smaller than the sum of its proper divisors (739531212).

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

336149940 is a wasteful number, since it uses less digits than its factorization.

336149940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800376 (or 800374 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 336149940 is about 18334.3922724480. The cubic root of 336149940 is about 695.3087253913.

It can be divided in two parts, 3361 and 49940, that added together give a triangular number (53301 = T326).

The spelling of 336149940 in words is "three hundred thirty-six million, one hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 800357 1600714 2401071 3201428 4001785 4802142 5602499 8003570 9604284 11204998 12005355 16007140 16807497 22409996 24010710 28012495 33614994 48021420 56024990 67229988 84037485 112049980 168074970 336149940