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1014242304 = 21031719421
BaseRepresentation
bin111100011101000…
…001110000000000
32121200110211212210
4330131001300000
54034121223204
6244350422120
734063626435
oct7435016000
92550424783
101014242304
11480571289
12243801940
1313218599a
14989b7b8c
155e096389
hex3c741c00

1014242304 has 88 divisors (see below), whose sum is σ = 2862492048. Its totient is φ = 318177280.

The previous prime is 1014242237. The next prime is 1014242311. The reversal of 1014242304 is 4032424101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42514 + ... + 61934.

Almost surely, 21014242304 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 1014242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431246024).

1014242304 is an abundant number, since it is smaller than the sum of its proper divisors (1848249744).

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

1014242304 is a wasteful number, since it uses less digits than its factorization.

1014242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19461 (or 19443 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1014242304 is about 31847.1710517591. The cubic root of 1014242304 is about 1004.7250731856.

Adding to 1014242304 its reverse (4032424101), we get a palindrome (5046666405).

The spelling of 1014242304 in words is "one billion, fourteen million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2176 3072 3264 4352 6528 8704 13056 17408 19421 26112 38842 52224 58263 77684 116526 155368 233052 310736 330157 466104 621472 660314 932208 990471 1242944 1320628 1864416 1980942 2485888 2641256 3728832 3961884 4971776 5282512 7457664 7923768 9943552 10565024 14915328 15847536 19887104 21130048 29830656 31695072 42260096 59661312 63390144 84520192 126780288 169040384 253560576 338080768 507121152 1014242304