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2034321432 = 23311133119121
BaseRepresentation
bin111100101000001…
…0100100000011000
312020202221020101020
41321100110200120
513131241241212
6533510322440
7101261306163
oct17120244030
95222836336
102034321432
11954359890
12489359420
132656032c0
14154270ada
15bd8e1d8c
hex79414818

2034321432 has 128 divisors (see below), whose sum is σ = 6167992320. Its totient is φ = 550656000.

The previous prime is 2034321409. The next prime is 2034321481. The reversal of 2034321432 is 2341234302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96832 + ... + 115952.

It is an arithmetic number, because the mean of its divisors is an integer number (48187440).

Almost surely, 22034321432 is an apocalyptic number.

2034321432 is a gapful number since it is divisible by the number (22) 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 2034321432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083996160).

2034321432 is an abundant number, since it is smaller than the sum of its proper divisors (4133670888).

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

2034321432 is a wasteful number, since it uses less digits than its factorization.

2034321432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19185 (or 19181 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2034321432 is about 45103.4525507749. The cubic root of 2034321432 is about 1267.0872615577.

Adding to 2034321432 its reverse (2341234302), we get a palindrome (4375555734).

The spelling of 2034321432 in words is "two billion, thirty-four million, three hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 31 33 39 44 52 62 66 78 88 93 104 124 132 143 156 186 248 264 286 312 341 372 403 429 572 682 744 806 858 1023 1144 1209 1364 1612 1716 2046 2418 2728 3224 3432 4092 4433 4836 8184 8866 9672 13299 17732 19121 26598 35464 38242 53196 57363 76484 106392 114726 152968 210331 229452 248573 420662 458904 497146 592751 630993 745719 841324 994292 1185502 1261986 1491438 1682648 1778253 1988584 2371004 2523972 2734303 2982876 3556506 4742008 5047944 5468606 5965752 6520261 7113012 7705763 8202909 10937212 13040522 14226024 15411526 16405818 19560783 21874424 23117289 26081044 30823052 32811636 39121566 46234578 52162088 61646104 65623272 78243132 84763393 92469156 156486264 169526786 184938312 254290179 339053572 508580358 678107144 1017160716 2034321432