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376881834 = 23721925367
BaseRepresentation
bin10110011101101…
…100001010101010
3222021011120200110
4112131230022222
51232440204314
6101221515150
712224304600
oct2635541252
9867146613
10376881834
1118381599a
12a6272ab6
1360108b04
14380a7870
1523148a59
hex1676c2aa

376881834 has 144 divisors (see below), whose sum is σ = 956937888. Its totient is φ = 98594496.

The previous prime is 376881833. The next prime is 376881839. The reversal of 376881834 is 438188673.

376881834 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (376881833) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5625069 + ... + 5625135.

It is an arithmetic number, because the mean of its divisors is an integer number (6645402).

Almost surely, 2376881834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376881834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478468944).

376881834 is an abundant number, since it is smaller than the sum of its proper divisors (580056054).

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

376881834 is a wasteful number, since it uses less digits than its factorization.

376881834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 151 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 376881834 is about 19413.4446711551. Note that the first 3 decimals coincide. The cubic root of 376881834 is about 722.3290282419.

The spelling of 376881834 in words is "three hundred seventy-six million, eight hundred eighty-one thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 53 57 67 98 106 114 133 134 147 159 201 266 294 318 361 371 399 402 469 722 742 798 931 938 1007 1083 1113 1273 1407 1862 2014 2166 2226 2527 2546 2597 2793 2814 3021 3283 3551 3819 5054 5194 5586 6042 6566 7049 7102 7581 7638 7791 8911 9849 10653 14098 15162 15582 17689 17822 19133 19698 21147 21306 24187 24857 26733 35378 38266 42294 48374 49343 49714 53067 53466 57399 62377 67469 72561 74571 98686 106134 114798 124754 133931 134938 145122 148029 149142 169309 173999 187131 202407 267862 296058 338618 347998 374262 401793 404814 472283 507927 521997 803586 937517 944566 1015854 1043994 1185163 1281911 1416849 1875034 2370326 2563822 2812551 2833698 3305981 3555489 3845733 5625102 6611962 7110978 7691466 8973377 9917943 17946754 19835886 26920131 53840262 62813639 125627278 188440917 376881834