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1010335404 = 2231321313803
BaseRepresentation
bin111100001110000…
…111111010101100
32121102010100121210
4330032013322230
54032121213104
6244130554420
734015465161
oct7416077254
92542110553
101010335404
11479342a41
12242438a10
13131418600
149827c068
155da73989
hex3c387eac

1010335404 has 72 divisors (see below), whose sum is σ = 2572903872. Its totient is φ = 308418240.

The previous prime is 1010335399. The next prime is 1010335427. The reversal of 1010335404 is 4045330101.

It is a super-3 number, since 3×10103354043 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263767 + ... + 267569.

It is an arithmetic number, because the mean of its divisors is an integer number (35734776).

Almost surely, 21010335404 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 1010335404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286451936).

1010335404 is an abundant number, since it is smaller than the sum of its proper divisors (1562568468).

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

1010335404 is a wasteful number, since it uses less digits than its factorization.

1010335404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1010335404 is about 31785.7736102175. The cubic root of 1010335404 is about 1003.4333333980.

Adding to 1010335404 its reverse (4045330101), we get a palindrome (5055665505).

The spelling of 1010335404 in words is "one billion, ten million, three hundred thirty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 131 156 169 262 338 393 507 524 676 786 1014 1572 1703 2028 3406 3803 5109 6812 7606 10218 11409 15212 20436 22139 22818 44278 45636 49439 66417 88556 98878 132834 148317 197756 265668 296634 498193 593268 642707 996386 1285414 1494579 1928121 1992772 2570828 2989158 3856242 5978316 6476509 7712484 12953018 19429527 25906036 38859054 77718108 84194617 168389234 252583851 336778468 505167702 1010335404