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1934028544 = 28719431321
BaseRepresentation
bin111001101000110…
…1110111100000000
311222210012211101211
41303101232330000
512430102403134
6515524535504
765632654120
oct16321567400
94883184354
101934028544
119027882a8
1245b851594
1324a8b93b6
14144c04c80
15b4bd0764
hex7346ef00

1934028544 has 144 divisors (see below), whose sum is σ = 4755815680. Its totient is φ = 766402560.

The previous prime is 1934028491. The next prime is 1934028553. The reversal of 1934028544 is 4458204391.

It is a junction number, because it is equal to n+sod(n) for n = 1934028497 and 1934028506.

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, 1463404 + ... + 1464724.

Almost surely, 21934028544 is an apocalyptic number.

1934028544 is a gapful number since it is divisible by the number (14) 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 1934028544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377907840).

1934028544 is an abundant number, since it is smaller than the sum of its proper divisors (2821787136).

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

1934028544 is a wasteful number, since it uses less digits than its factorization.

1934028544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 1934028544 is about 43977.5913847041. The cubic root of 1934028544 is about 1245.9127393938.

The spelling of 1934028544 in words is "one billion, nine hundred thirty-four million, twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 43 56 64 76 86 112 128 133 152 172 224 256 266 301 304 344 448 532 602 608 688 817 896 1064 1204 1216 1321 1376 1634 1792 2128 2408 2432 2642 2752 3268 4256 4816 4864 5284 5504 5719 6536 8512 9247 9632 10568 11008 11438 13072 17024 18494 19264 21136 22876 25099 26144 34048 36988 38528 42272 45752 50198 52288 56803 73976 77056 84544 91504 100396 104576 113606 147952 169088 175693 183008 200792 209152 227212 295904 338176 351386 366016 397621 401584 454424 591808 702772 732032 795242 803168 908848 1079257 1183616 1405544 1464064 1590484 1606336 1817696 2158514 2367232 2811088 3180968 3212672 3635392 4317028 5622176 6361936 6425344 7270784 7554799 8634056 11244352 12723872 14541568 15109598 17268112 22488704 25447744 30219196 34536224 44977408 50895488 60438392 69072448 101790976 120876784 138144896 241753568 276289792 483507136 967014272 1934028544