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1051345416 = 2331117733209
BaseRepresentation
bin111110101010100…
…100001000001000
32201021021212210010
4332222210020020
54123121023131
6252153551520
735024200662
oct7652441010
92637255703
101051345416
1149a503410
122541155a0
13139a76aa4
149d8b5532
1562474b46
hex3eaa4208

1051345416 has 128 divisors (see below), whose sum is σ = 3078518400. Its totient is φ = 295649280.

The previous prime is 1051345363. The next prime is 1051345459. The reversal of 1051345416 is 6145431501.

It is a happy number.

It is a super-2 number, since 2×10513454162 = 2210654367488426112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326020 + ... + 329228.

It is an arithmetic number, because the mean of its divisors is an integer number (24050925).

Almost surely, 21051345416 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 1051345416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539259200).

1051345416 is an abundant number, since it is smaller than the sum of its proper divisors (2027172984).

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

1051345416 is a wasteful number, since it uses less digits than its factorization.

1051345416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1051345416 is about 32424.4570656164. The cubic root of 1051345416 is about 1016.8302908673.

Adding to 1051345416 its reverse (6145431501), we get a palindrome (7196776917).

The spelling of 1051345416 in words is "one billion, fifty-one million, three hundred forty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 73 88 102 132 136 146 187 204 219 264 292 374 408 438 561 584 748 803 876 1122 1241 1496 1606 1752 2244 2409 2482 3209 3212 3723 4488 4818 4964 6418 6424 7446 9627 9636 9928 12836 13651 14892 19254 19272 25672 27302 29784 35299 38508 40953 54553 54604 70598 77016 81906 105897 109106 109208 141196 163659 163812 211794 218212 234257 282392 327318 327624 423588 436424 468514 600083 654636 702771 847176 937028 1200166 1309272 1405542 1800249 1874056 2400332 2576827 2811084 3600498 3982369 4800664 5153654 5622168 7200996 7730481 7964738 10307308 11947107 14401992 15460962 15929476 20614616 23894214 30921924 31858952 43806059 47788428 61843848 87612118 95576856 131418177 175224236 262836354 350448472 525672708 1051345416