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1010353340 = 2251131672677
BaseRepresentation
bin111100001110001…
…100010010111100
32121102011021020002
4330032030102330
54032122301330
6244131213432
734015601363
oct7416142274
92542137202
101010353340
11479355467
12242447278
13131423819
14982847da
155da78e45
hex3c38c4bc

1010353340 has 48 divisors (see below), whose sum is σ = 2154140352. Its totient is φ = 398017536.

The previous prime is 1010353319. The next prime is 1010353349. The reversal of 1010353340 is 433530101.

It is a happy number.

1010353340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010353349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376082 + ... + 378758.

It is an arithmetic number, because the mean of its divisors is an integer number (44877924).

Almost surely, 21010353340 is an apocalyptic number.

1010353340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010353340 is an abundant number, since it is smaller than the sum of its proper divisors (1143787012).

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

1010353340 is a wasteful number, since it uses less digits than its factorization.

1010353340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1010353340 is about 31786.0557477646. The cubic root of 1010353340 is about 1003.4392711865.

Adding to 1010353340 its reverse (433530101), we get a palindrome (1443883441).

It can be divided in two parts, 101035 and 3340, that multiplied together give a square (337456900 = 183702).

The spelling of 1010353340 in words is "one billion, ten million, three hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 113 167 226 334 452 565 668 835 1130 1670 2260 2677 3340 5354 10708 13385 18871 26770 37742 53540 75484 94355 188710 302501 377420 447059 605002 894118 1210004 1512505 1788236 2235295 3025010 4470590 6050020 8941180 50517667 101035334 202070668 252588335 505176670 1010353340