Search a number
-
+
34364435892 = 22329757130447
BaseRepresentation
bin100000000000010001…
…111010110110110100
310021200220202012212220
4200000101322312310
51030334243422032
623441541042340
72324403612513
oct400021726664
9107626665786
1034364435892
1113634912346
1267b06b63b0
133318655647
14193dd4667a
15d61d8a12c
hex80047adb4

34364435892 has 48 divisors (see below), whose sum is σ = 83058850560. Its totient is φ = 11045123712.

The previous prime is 34364435891. The next prime is 34364435929. The reversal of 34364435892 is 29853446343.

It is a super-3 number, since 3×343644358923 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34364435891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198213 + ... + 328659.

It is an arithmetic number, because the mean of its divisors is an integer number (1730392720).

Almost surely, 234364435892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34364435892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41529425280).

34364435892 is an abundant number, since it is smaller than the sum of its proper divisors (48694414668).

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

34364435892 is a wasteful number, since it uses less digits than its factorization.

34364435892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131240 (or 131238 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 51.

The spelling of 34364435892 in words is "thirty-four billion, three hundred sixty-four million, four hundred thirty-five thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 757 1514 2271 3028 4542 9084 21953 43906 65859 87812 130447 131718 260894 263436 391341 521788 782682 1565364 3782963 7565926 11348889 15131852 22697778 45395556 98748379 197496758 296245137 394993516 592490274 1184980548 2863702991 5727405982 8591108973 11454811964 17182217946 34364435892