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1010346072 = 23342097753
BaseRepresentation
bin111100001110001…
…010100001011000
32121102010220020220
4330032022201120
54032122033242
6244131120040
734015541241
oct7416124130
92542126226
101010346072
1147934aa5a
12242443020
13131420418
1498281cc8
155da76bec
hex3c38a858

1010346072 has 16 divisors (see below), whose sum is σ = 2525865240. Its totient is φ = 336782016.

The previous prime is 1010346059. The next prime is 1010346097. The reversal of 1010346072 is 2706430101.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 42097753 = 1010346072 / (1 + 0 + 1 + 0 + 3 + 4 + 6 + 0 + 7 + 2).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 21048853 + ... + 21048900.

Almost surely, 21010346072 is an apocalyptic number.

1010346072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010346072 is an abundant number, since it is smaller than the sum of its proper divisors (1515519168).

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

1010346072 is a wasteful number, since it uses less digits than its factorization.

1010346072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42097762 (or 42097758 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1010346072 is about 31785.9414206973. The cubic root of 1010346072 is about 1003.4368650929.

Adding to 1010346072 its reverse (2706430101), we get a palindrome (3716776173).

The spelling of 1010346072 in words is "one billion, ten million, three hundred forty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 42097753 84195506 126293259 168391012 252586518 336782024 505173036 1010346072