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2134832352 = 253432771867
BaseRepresentation
bin111111100111110…
…1111010011100000
312111210001201102220
41333033233103200
513333004113402
6551500511040
7103621530012
oct17717572340
95453051386
102134832352
119a606a164
124b6b4b480
13280395513
141637561b2
15c7647dbc
hex7f3ef4e0

2134832352 has 96 divisors (see below), whose sum is σ = 5758042752. Its totient is φ = 692181504.

The previous prime is 2134832339. The next prime is 2134832387. The reversal of 2134832352 is 2532384312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21348323522 = 9115018342291703808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1142523 + ... + 1144389.

It is an arithmetic number, because the mean of its divisors is an integer number (59979612).

Almost surely, 22134832352 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 2134832352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879021376).

2134832352 is an abundant number, since it is smaller than the sum of its proper divisors (3623210400).

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

2134832352 is a wasteful number, since it uses less digits than its factorization.

2134832352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2192 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 2134832352 is about 46204.2460386489. The cubic root of 2134832352 is about 1287.6206269234.

The spelling of 2134832352 in words is "two billion, one hundred thirty-four million, eight hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 277 344 516 554 688 831 1032 1108 1376 1662 1867 2064 2216 3324 3734 4128 4432 5601 6648 7468 8864 11202 11911 13296 14936 22404 23822 26592 29872 35733 44808 47644 59744 71466 80281 89616 95288 142932 160562 179232 190576 240843 285864 321124 381152 481686 517159 571728 642248 963372 1034318 1143456 1284496 1551477 1926744 2068636 2568992 3102954 3853488 4137272 6205908 7706976 8274544 12411816 16549088 22237837 24823632 44475674 49647264 66713511 88951348 133427022 177902696 266854044 355805392 533708088 711610784 1067416176 2134832352