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1934838864 = 243276728649
BaseRepresentation
bin111001101010011…
…0100110001010000
311222211201222221200
41303110310301100
512430304320424
6515554151200
765642600430
oct16324646120
94884658850
101934838864
11903191092
1245bb82500
1324ab1118a
14144d762c0
15b4ce08c9
hex73534c50

1934838864 has 120 divisors (see below), whose sum is σ = 6280996800. Its totient is φ = 544541184.

The previous prime is 1934838859. The next prime is 1934838877. The reversal of 1934838864 is 4688384391.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1934838864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53212 + ... + 81860.

It is an arithmetic number, because the mean of its divisors is an integer number (52341640).

Almost surely, 21934838864 is an apocalyptic number.

1934838864 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 1934838864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140498400).

1934838864 is an abundant number, since it is smaller than the sum of its proper divisors (4346157936).

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

1934838864 is a wasteful number, since it uses less digits than its factorization.

1934838864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28737 (or 28728 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 1934838864 is about 43986.8032937153. The cubic root of 1934838864 is about 1246.0867194259.

The spelling of 1934838864 in words is "one billion, nine hundred thirty-four million, eight hundred thirty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 67 72 84 112 126 134 144 168 201 252 268 336 402 469 504 536 603 804 938 1008 1072 1206 1407 1608 1876 2412 2814 3216 3752 4221 4824 5628 7504 8442 9648 11256 16884 22512 28649 33768 57298 67536 85947 114596 171894 200543 229192 257841 343788 401086 458384 515682 601629 687576 802172 1031364 1203258 1375152 1604344 1804887 1919483 2062728 2406516 3208688 3609774 3838966 4125456 4813032 5758449 7219548 7677932 9626064 11516898 13436381 14439096 15355864 17275347 23033796 26872762 28878192 30711728 34550694 40309143 46067592 53745524 69101388 80618286 92135184 107491048 120927429 138202776 161236572 214982096 241854858 276405552 322473144 483709716 644946288 967419432 1934838864