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1076225346 = 233722912433
BaseRepresentation
bin100000000100101…
…1110010101000010
32210000002220122000
41000021132111002
54201003202341
6254443124430
735445523140
oct10011362502
92700086560
101076225346
11502557039
12260513716
13141c78441
14a2d10590
156473b8b6
hex4025e542

1076225346 has 64 divisors (see below), whose sum is σ = 2745427200. Its totient is φ = 306125568.

The previous prime is 1076225333. The next prime is 1076225347. The reversal of 1076225346 is 6435226701.

It is a self number, because there is not a number n which added to its sum of digits gives 1076225346.

It is not an unprimeable number, because it can be changed into a prime (1076225347) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 80346 + ... + 92778.

It is an arithmetic number, because the mean of its divisors is an integer number (42897300).

Almost surely, 21076225346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076225346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372713600).

1076225346 is an abundant number, since it is smaller than the sum of its proper divisors (1669201854).

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

1076225346 is a wasteful number, since it uses less digits than its factorization.

1076225346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12680 (or 12674 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1076225346 is about 32805.8736509181. The cubic root of 1076225346 is about 1024.7888824762.

The spelling of 1076225346 in words is "one billion, seventy-six million, two hundred twenty-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 229 378 458 687 1374 1603 2061 3206 4122 4809 6183 9618 12366 12433 14427 24866 28854 37299 43281 74598 86562 87031 111897 174062 223794 261093 335691 522186 671382 783279 1566558 2349837 2847157 4699674 5694314 8541471 17082942 19930099 25624413 39860198 51248826 59790297 76873239 119580594 153746478 179370891 358741782 538112673 1076225346