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34442673774 = 2329419075323
BaseRepresentation
bin100000000100111100…
…010111111001101110
310021220100222010002020
4200010330113321232
51031014311030044
623453414011010
72326343616345
oct400474277156
9107810863066
1034442673774
1113674a9a653
126812946a66
13332b919952
14194a4b0b5c
15d68b91a19
hex804f17e6e

34442673774 has 64 divisors (see below), whose sum is σ = 73092983040. Its totient is φ = 10800679680.

The previous prime is 34442673731. The next prime is 34442673787. The reversal of 34442673774 is 47737624443.

34442673774 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6467877 + ... + 6473199.

It is an arithmetic number, because the mean of its divisors is an integer number (1142077860).

Almost surely, 234442673774 is an apocalyptic number.

34442673774 is an abundant number, since it is smaller than the sum of its proper divisors (38650309266).

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

34442673774 is a wasteful number, since it uses less digits than its factorization.

34442673774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6305.

The product of its digits is 9483264, while the sum is 51.

The spelling of 34442673774 in words is "thirty-four billion, four hundred forty-two million, six hundred seventy-three thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 29 41 58 82 87 123 174 246 907 1189 1814 2378 2721 3567 5323 5442 7134 10646 15969 26303 31938 37187 52606 74374 78909 111561 154367 157818 218243 223122 308734 436486 463101 654729 926202 1078423 1309458 2156846 3235269 4827961 6329047 6470538 9655922 12658094 14483883 18987141 28967766 37974282 140010869 197946401 280021738 395892802 420032607 593839203 840065214 1187678406 5740445629 11480891258 17221336887 34442673774