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2134802304 = 27341910837
BaseRepresentation
bin111111100111110…
…0111111110000000
312111210000012020000
41333033213332000
513333002133204
6551500120000
7103621343265
oct17717477600
95453005200
102134802304
119a6049628
124b6b36000
1328038493b
1416374926c
15c763e039
hex7f3e7f80

2134802304 has 160 divisors (see below), whose sum is σ = 6688129800. Its totient is φ = 674085888.

The previous prime is 2134802303. The next prime is 2134802311. The reversal of 2134802304 is 4032084312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134802303) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 191574 + ... + 202410.

Almost surely, 22134802304 is an apocalyptic number.

2134802304 is a gapful number since it is divisible by the number (24) 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 2134802304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344064900).

2134802304 is an abundant number, since it is smaller than the sum of its proper divisors (4553327496).

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

2134802304 is a wasteful number, since it uses less digits than its factorization.

2134802304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10882 (or 10861 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2134802304 is about 46203.9208725840. The cubic root of 2134802304 is about 1287.6145857611.

Adding to 2134802304 its reverse (4032084312), we get a palindrome (6166886616).

The spelling of 2134802304 in words is "two billion, one hundred thirty-four million, eight hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 192 216 228 288 304 324 342 384 432 456 513 576 608 648 684 864 912 1026 1152 1216 1296 1368 1539 1728 1824 2052 2432 2592 2736 3078 3456 3648 4104 5184 5472 6156 7296 8208 10368 10837 10944 12312 16416 21674 21888 24624 32511 32832 43348 49248 65022 65664 86696 97533 98496 130044 173392 195066 196992 205903 260088 292599 346784 390132 411806 520176 585198 617709 693568 780264 823612 877797 1040352 1170396 1235418 1387136 1560528 1647224 1755594 1853127 2080704 2340792 2470836 3121056 3294448 3511188 3706254 4161408 4681584 4941672 5559381 6242112 6588896 7022376 7412508 9363168 9883344 11118762 12484224 13177792 14044752 14825016 16678143 18726336 19766688 22237524 26355584 28089504 29650032 33356286 37452672 39533376 44475048 56179008 59300064 66712572 79066752 88950096 112358016 118600128 133425144 177900192 237200256 266850288 355800384 533700576 711600768 1067401152 2134802304