Search a number
-
+
34334010444 = 22331233396119
BaseRepresentation
bin11111111110011101…
…110110110001001100
310021121210111110000110
4133332131312301030
51030304001313234
623434533000020
72323554162546
oct377635666114
9107553443013
1034334010444
1113619721248
1267a2483010
133312261b16
141939ca6696
15d5e37a1e9
hex7fe776c4c

34334010444 has 48 divisors (see below), whose sum is σ = 83052103680. Its totient is φ = 11027925120.

The previous prime is 34334010427. The next prime is 34334010461. The reversal of 34334010444 is 44401043343.

It is an interprime number because it is at equal distance from previous prime (34334010427) and next prime (34334010461).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111384 + ... + 284735.

It is an arithmetic number, because the mean of its divisors is an integer number (1730252160).

Almost surely, 234334010444 is an apocalyptic number.

It is an amenable number.

34334010444 is an abundant number, since it is smaller than the sum of its proper divisors (48718093236).

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

34334010444 is a wasteful number, since it uses less digits than its factorization.

34334010444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396390 (or 396388 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34334010444 its reverse (44401043343), we get a palindrome (78735053787).

The spelling of 34334010444 in words is "thirty-four billion, three hundred thirty-four million, ten thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 233 372 466 699 932 1398 2796 7223 14446 21669 28892 43338 86676 396119 792238 1188357 1584476 2376714 4753428 12279689 24559378 36839067 49118756 73678134 92295727 147356268 184591454 276887181 369182908 553774362 1107548724 2861167537 5722335074 8583502611 11444670148 17167005222 34334010444