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4334237076 = 2231335378707
BaseRepresentation
bin1000000100101011…
…10011010110010100
3102012001122001112010
410002111303112110
532334031041301
61554025424220
7212256256461
oct40225632624
912161561463
104334237076
111924622514
12a0b63b070
13540c48c30
142d18ba668
151a57985d6
hex102573594

4334237076 has 48 divisors (see below), whose sum is σ = 10922151744. Its totient is φ = 1329816576.

The previous prime is 4334237071. The next prime is 4334237099. The reversal of 4334237076 is 6707324334.

It is a super-2 number, since 2×43342370762 = 37571222061946059552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334237071) 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, 15715 + ... + 94421.

It is an arithmetic number, because the mean of its divisors is an integer number (227544828).

Almost surely, 24334237076 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 4334237076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461075872).

4334237076 is an abundant number, since it is smaller than the sum of its proper divisors (6587914668).

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

4334237076 is a wasteful number, since it uses less digits than its factorization.

4334237076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79080 (or 79078 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 39.

The square root of 4334237076 is about 65834.9229208936. The cubic root of 4334237076 is about 1630.4377456043.

The spelling of 4334237076 in words is "four billion, three hundred thirty-four million, two hundred thirty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 353 706 1059 1412 2118 4236 4589 9178 13767 18356 27534 55068 78707 157414 236121 314828 472242 944484 1023191 2046382 3069573 4092764 6139146 12278292 27783571 55567142 83350713 111134284 166701426 333402852 361186423 722372846 1083559269 1444745692 2167118538 4334237076