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1012949388 = 223511211449
BaseRepresentation
bin111100011000000…
…110000110001100
32121121001011100000
4330120012012030
54033303340023
6244303004300
734046633133
oct7430060614
92547034300
101012949388
1147a868960
12243299690
13131b22349
149875c91a
155dddd243
hex3c60618c

1012949388 has 144 divisors (see below), whose sum is σ = 2916950400. Its totient is φ = 304819200.

The previous prime is 1012949363. The next prime is 1012949393. The reversal of 1012949388 is 8839492101.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2255788 + ... + 2256236.

It is an arithmetic number, because the mean of its divisors is an integer number (20256600).

It is a vampire number, since it can be written as 1139488902 (with its own digits).

Almost surely, 21012949388 is an apocalyptic number.

1012949388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012949388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458475200).

1012949388 is an abundant number, since it is smaller than the sum of its proper divisors (1904001012).

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

1012949388 is a wasteful number, since it uses less digits than its factorization.

1012949388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1012949388 is about 31826.8658211895. The cubic root of 1012949388 is about 1004.2979637099.

The spelling of 1012949388 in words is "one billion, twelve million, nine hundred forty-nine thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 211 243 297 324 396 422 449 486 594 633 844 891 898 972 1188 1266 1347 1782 1796 1899 2321 2532 2673 2694 3564 3798 4041 4642 4939 5346 5388 5697 6963 7596 8082 9284 9878 10692 11394 12123 13926 14817 16164 17091 19756 20889 22788 24246 27852 29634 34182 36369 41778 44451 48492 51273 59268 62667 68364 72738 83556 88902 94739 102546 109107 125334 133353 145476 177804 188001 189478 205092 218214 250668 266706 284217 376002 378956 400059 436428 533412 564003 568434 752004 800118 852651 1042129 1128006 1136868 1200177 1600236 1705302 2084258 2256012 2400354 2557953 3126387 3410604 4168516 4800708 5115906 6252774 7673859 9379161 10231812 12505548 15347718 18758322 23021577 28137483 30695436 37516644 46043154 56274966 84412449 92086308 112549932 168824898 253237347 337649796 506474694 1012949388