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2134424028 = 2231123147419
BaseRepresentation
bin111111100111000…
…1011100111011100
312111202021222022210
41333032023213130
513332403032103
6551444040420
7103615206402
oct17716134734
95452258283
102134424028
119a5910400
124b6993110
132802816c9
1416368b472
15c75b6e03
hex7f38b9dc

2134424028 has 72 divisors (see below), whose sum is σ = 5650946560. Its totient is φ = 625917600.

The previous prime is 2134424021. The next prime is 2134424029. The reversal of 2134424028 is 8204244312.

It is a junction number, because it is equal to n+sod(n) for n = 2134423986 and 2134424004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134424021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21303 + ... + 68721.

Almost surely, 22134424028 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 2134424028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825473280).

2134424028 is an abundant number, since it is smaller than the sum of its proper divisors (3516522532).

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

2134424028 is a wasteful number, since it uses less digits than its factorization.

2134424028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47479 (or 47466 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 2134424028 is about 46199.8271425338. The cubic root of 2134424028 is about 1287.5385283723.

It can be divided in two parts, 213442 and 4028, that added together give a triangular number (217470 = T659).

The spelling of 2134424028 in words is "two billion, one hundred thirty-four million, four hundred twenty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 121 124 132 186 242 341 363 372 484 682 726 1023 1364 1452 2046 3751 4092 7502 11253 15004 22506 45012 47419 94838 142257 189676 284514 521609 569028 1043218 1469989 1564827 2086436 2939978 3129654 4409967 5737699 5879956 6259308 8819934 11475398 16169879 17213097 17639868 22950796 32339758 34426194 48509637 64679516 68852388 97019274 177868669 194038548 355737338 533606007 711474676 1067212014 2134424028